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Finding the Fourth Proportional to 712.50, 981.77 and 665.92

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Solution

The fourth proportional to 712.50, 981.77 and 665.92 is: 917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.50 : 981.77 = 665.92 : x
  2. Step 2: Convert to fraction form
    712.50/981.77 = 665.92/x
  3. Step 3: Cross multiply
    712.50x = 981.77 × 665.92
  4. Step 4: Simplify right side
    712.50x = 653,781.92
  5. Step 5: Solve for x
    x = 653,781.92/712.50
  6. Step 6: Final answer
    x = 917.59

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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.