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Finding the Fourth Proportional to 520.62, 716.36 and 502.68

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Solution

The fourth proportional to 520.62, 716.36 and 502.68 is: 691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.62 : 716.36 = 502.68 : x
  2. Step 2: Convert to fraction form
    520.62/716.36 = 502.68/x
  3. Step 3: Cross multiply
    520.62x = 716.36 × 502.68
  4. Step 4: Simplify right side
    520.62x = 360,099.84
  5. Step 5: Solve for x
    x = 360,099.84/520.62
  6. Step 6: Final answer
    x = 691.68

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