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Finding the Fourth Proportional to 520.30, 780.48 and 173.66

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Solution

The fourth proportional to 520.30, 780.48 and 173.66 is: 260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.30 : 780.48 = 173.66 : x
  2. Step 2: Convert to fraction form
    520.30/780.48 = 173.66/x
  3. Step 3: Cross multiply
    520.30x = 780.48 × 173.66
  4. Step 4: Simplify right side
    520.30x = 135,538.16
  5. Step 5: Solve for x
    x = 135,538.16/520.30
  6. Step 6: Final answer
    x = 260.50

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Find fourth proportional to 260.15, 390.24 and 86.83
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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.