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Finding the Fourth Proportional to 688.83, 1,032.04 and 543.52

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Solution

The fourth proportional to 688.83, 1,032.04 and 543.52 is: 814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.83 : 1,032.04 = 543.52 : x
  2. Step 2: Convert to fraction form
    688.83/1,032.04 = 543.52/x
  3. Step 3: Cross multiply
    688.83x = 1,032.04 × 543.52
  4. Step 4: Simplify right side
    688.83x = 560,934.38
  5. Step 5: Solve for x
    x = 560,934.38/688.83
  6. Step 6: Final answer
    x = 814.33

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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.