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Finding the Fourth Proportional to 688.84, 951.42 and 558.52

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Solution

The fourth proportional to 688.84, 951.42 and 558.52 is: 771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.84 : 951.42 = 558.52 : x
  2. Step 2: Convert to fraction form
    688.84/951.42 = 558.52/x
  3. Step 3: Cross multiply
    688.84x = 951.42 × 558.52
  4. Step 4: Simplify right side
    688.84x = 531,387.10
  5. Step 5: Solve for x
    x = 531,387.10/688.84
  6. Step 6: Final answer
    x = 771.42

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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.