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Finding the Fourth Proportional to 709.36, 1,057.12 and 686.16

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Solution

The fourth proportional to 709.36, 1,057.12 and 686.16 is: 1,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.36 : 1,057.12 = 686.16 : x
  2. Step 2: Convert to fraction form
    709.36/1,057.12 = 686.16/x
  3. Step 3: Cross multiply
    709.36x = 1,057.12 × 686.16
  4. Step 4: Simplify right side
    709.36x = 725,353.46
  5. Step 5: Solve for x
    x = 725,353.46/709.36
  6. Step 6: Final answer
    x = 1,022.55

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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.