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Finding the Fourth Proportional to 1,066.73, 1,472.07 and 594.59

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Solution

The fourth proportional to 1,066.73, 1,472.07 and 594.59 is: 820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.73 : 1,472.07 = 594.59 : x
  2. Step 2: Convert to fraction form
    1,066.73/1,472.07 = 594.59/x
  3. Step 3: Cross multiply
    1,066.73x = 1,472.07 × 594.59
  4. Step 4: Simplify right side
    1,066.73x = 875,277.49
  5. Step 5: Solve for x
    x = 875,277.49/1,066.73
  6. Step 6: Final answer
    x = 820.52

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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.