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Finding the Fourth Proportional to 709.75, 1,060.88 and 640.23

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Solution

The fourth proportional to 709.75, 1,060.88 and 640.23 is: 956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.75 : 1,060.88 = 640.23 : x
  2. Step 2: Convert to fraction form
    709.75/1,060.88 = 640.23/x
  3. Step 3: Cross multiply
    709.75x = 1,060.88 × 640.23
  4. Step 4: Simplify right side
    709.75x = 679,207.20
  5. Step 5: Solve for x
    x = 679,207.20/709.75
  6. Step 6: Final answer
    x = 956.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.