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Finding the Fourth Proportional to 688.20, 1,032.64 and 322.92

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Solution

The fourth proportional to 688.20, 1,032.64 and 322.92 is: 484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.20 : 1,032.64 = 322.92 : x
  2. Step 2: Convert to fraction form
    688.20/1,032.64 = 322.92/x
  3. Step 3: Cross multiply
    688.20x = 1,032.64 × 322.92
  4. Step 4: Simplify right side
    688.20x = 333,463.17
  5. Step 5: Solve for x
    x = 333,463.17/688.20
  6. Step 6: Final answer
    x = 484.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.