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Finding the Fourth Proportional to 1,066.82, 1,472.19 and 594.72

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Solution

The fourth proportional to 1,066.82, 1,472.19 and 594.72 is: 820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.82 : 1,472.19 = 594.72 : x
  2. Step 2: Convert to fraction form
    1,066.82/1,472.19 = 594.72/x
  3. Step 3: Cross multiply
    1,066.82x = 1,472.19 × 594.72
  4. Step 4: Simplify right side
    1,066.82x = 875,538.64
  5. Step 5: Solve for x
    x = 875,538.64/1,066.82
  6. Step 6: Final answer
    x = 820.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.