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Finding the Fourth Proportional to 1,066.97, 1,472.36 and 594.78

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Solution

The fourth proportional to 1,066.97, 1,472.36 and 594.78 is: 820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.97 : 1,472.36 = 594.78 : x
  2. Step 2: Convert to fraction form
    1,066.97/1,472.36 = 594.78/x
  3. Step 3: Cross multiply
    1,066.97x = 1,472.36 × 594.78
  4. Step 4: Simplify right side
    1,066.97x = 875,730.28
  5. Step 5: Solve for x
    x = 875,730.28/1,066.97
  6. Step 6: Final answer
    x = 820.76

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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.