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Finding the Fourth Proportional to 726.79, 1,000.74 and 710.59

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Solution

The fourth proportional to 726.79, 1,000.74 and 710.59 is: 978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.79 : 1,000.74 = 710.59 : x
  2. Step 2: Convert to fraction form
    726.79/1,000.74 = 710.59/x
  3. Step 3: Cross multiply
    726.79x = 1,000.74 × 710.59
  4. Step 4: Simplify right side
    726.79x = 711,115.84
  5. Step 5: Solve for x
    x = 711,115.84/726.79
  6. Step 6: Final answer
    x = 978.43

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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.