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Finding the Fourth Proportional to 531.93, 732.47 and 519.80

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Solution

The fourth proportional to 531.93, 732.47 and 519.80 is: 715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.93 : 732.47 = 519.80 : x
  2. Step 2: Convert to fraction form
    531.93/732.47 = 519.80/x
  3. Step 3: Cross multiply
    531.93x = 732.47 × 519.80
  4. Step 4: Simplify right side
    531.93x = 380,737.81
  5. Step 5: Solve for x
    x = 380,737.81/531.93
  6. Step 6: Final answer
    x = 715.77

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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.