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Finding the Fourth Proportional to 712.96, 981.76 and 565.12

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Solution

The fourth proportional to 712.96, 981.76 and 565.12 is: 778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.96 : 981.76 = 565.12 : x
  2. Step 2: Convert to fraction form
    712.96/981.76 = 565.12/x
  3. Step 3: Cross multiply
    712.96x = 981.76 × 565.12
  4. Step 4: Simplify right side
    712.96x = 554,812.21
  5. Step 5: Solve for x
    x = 554,812.21/712.96
  6. Step 6: Final answer
    x = 778.18

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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.