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Finding the Fourth Proportional to 688.62, 951.12 and 501.81

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Solution

The fourth proportional to 688.62, 951.12 and 501.81 is: 693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.62 : 951.12 = 501.81 : x
  2. Step 2: Convert to fraction form
    688.62/951.12 = 501.81/x
  3. Step 3: Cross multiply
    688.62x = 951.12 × 501.81
  4. Step 4: Simplify right side
    688.62x = 477,281.53
  5. Step 5: Solve for x
    x = 477,281.53/688.62
  6. Step 6: Final answer
    x = 693.10

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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.