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Finding the Fourth Proportional to 688.87, 951.02 and 534.07

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Solution

The fourth proportional to 688.87, 951.02 and 534.07 is: 737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.87 : 951.02 = 534.07 : x
  2. Step 2: Convert to fraction form
    688.87/951.02 = 534.07/x
  3. Step 3: Cross multiply
    688.87x = 951.02 × 534.07
  4. Step 4: Simplify right side
    688.87x = 507,911.25
  5. Step 5: Solve for x
    x = 507,911.25/688.87
  6. Step 6: Final answer
    x = 737.31

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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.