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Finding the Fourth Proportional to 715.28, 1,066.24 and 691.28

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Solution

The fourth proportional to 715.28, 1,066.24 and 691.28 is: 1,030.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.28 : 1,066.24 = 691.28 : x
  2. Step 2: Convert to fraction form
    715.28/1,066.24 = 691.28/x
  3. Step 3: Cross multiply
    715.28x = 1,066.24 × 691.28
  4. Step 4: Simplify right side
    715.28x = 737,070.39
  5. Step 5: Solve for x
    x = 737,070.39/715.28
  6. Step 6: Final answer
    x = 1,030.46

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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.