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Finding the Fourth Proportional to 522.69, 720.81 and 380.76

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Solution

The fourth proportional to 522.69, 720.81 and 380.76 is: 525.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.69 : 720.81 = 380.76 : x
  2. Step 2: Convert to fraction form
    522.69/720.81 = 380.76/x
  3. Step 3: Cross multiply
    522.69x = 720.81 × 380.76
  4. Step 4: Simplify right side
    522.69x = 274,455.62
  5. Step 5: Solve for x
    x = 274,455.62/522.69
  6. Step 6: Final answer
    x = 525.08

Related Problems

Find fourth proportional to 261.35, 360.41 and 190.38
Half scale
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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.