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Finding the Fourth Proportional to 688.72, 952.53 and 614.92

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Solution

The fourth proportional to 688.72, 952.53 and 614.92 is: 850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.72 : 952.53 = 614.92 : x
  2. Step 2: Convert to fraction form
    688.72/952.53 = 614.92/x
  3. Step 3: Cross multiply
    688.72x = 952.53 × 614.92
  4. Step 4: Simplify right side
    688.72x = 585,729.75
  5. Step 5: Solve for x
    x = 585,729.75/688.72
  6. Step 6: Final answer
    x = 850.46

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1.5x scale

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.