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Finding the Fourth Proportional to 712.08, 981.72 and 565.20

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Solution

The fourth proportional to 712.08, 981.72 and 565.20 is: 779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.08 : 981.72 = 565.20 : x
  2. Step 2: Convert to fraction form
    712.08/981.72 = 565.20/x
  3. Step 3: Cross multiply
    712.08x = 981.72 × 565.20
  4. Step 4: Simplify right side
    712.08x = 554,868.14
  5. Step 5: Solve for x
    x = 554,868.14/712.08
  6. Step 6: Final answer
    x = 779.22

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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.