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Finding the Fourth Proportional to 520.24, 717.68 and 380.12

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Solution

The fourth proportional to 520.24, 717.68 and 380.12 is: 524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.24 : 717.68 = 380.12 : x
  2. Step 2: Convert to fraction form
    520.24/717.68 = 380.12/x
  3. Step 3: Cross multiply
    520.24x = 717.68 × 380.12
  4. Step 4: Simplify right side
    520.24x = 272,802.62
  5. Step 5: Solve for x
    x = 272,802.62/520.24
  6. Step 6: Final answer
    x = 524.38

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Find fourth proportional to 260.12, 358.84 and 190.06
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.