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Finding the Fourth Proportional to 712.88, 981.96 and 557.36

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Solution

The fourth proportional to 712.88, 981.96 and 557.36 is: 767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.88 : 981.96 = 557.36 : x
  2. Step 2: Convert to fraction form
    712.88/981.96 = 557.36/x
  3. Step 3: Cross multiply
    712.88x = 981.96 × 557.36
  4. Step 4: Simplify right side
    712.88x = 547,305.23
  5. Step 5: Solve for x
    x = 547,305.23/712.88
  6. Step 6: Final answer
    x = 767.74

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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.