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Finding the Fourth Proportional to 515.42, 710.73 and 463.17

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Solution

The fourth proportional to 515.42, 710.73 and 463.17 is: 638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.42 : 710.73 = 463.17 : x
  2. Step 2: Convert to fraction form
    515.42/710.73 = 463.17/x
  3. Step 3: Cross multiply
    515.42x = 710.73 × 463.17
  4. Step 4: Simplify right side
    515.42x = 329,188.81
  5. Step 5: Solve for x
    x = 329,188.81/515.42
  6. Step 6: Final answer
    x = 638.69

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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.