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Finding the Fourth Proportional to 729.64, 1,006.23 and 656.74

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Solution

The fourth proportional to 729.64, 1,006.23 and 656.74 is: 905.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.64 : 1,006.23 = 656.74 : x
  2. Step 2: Convert to fraction form
    729.64/1,006.23 = 656.74/x
  3. Step 3: Cross multiply
    729.64x = 1,006.23 × 656.74
  4. Step 4: Simplify right side
    729.64x = 660,831.49
  5. Step 5: Solve for x
    x = 660,831.49/729.64
  6. Step 6: Final answer
    x = 905.70

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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.