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Finding the Fourth Proportional to 1,060.47, 1,463.42 and 594.72

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Solution

The fourth proportional to 1,060.47, 1,463.42 and 594.72 is: 820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.47 : 1,463.42 = 594.72 : x
  2. Step 2: Convert to fraction form
    1,060.47/1,463.42 = 594.72/x
  3. Step 3: Cross multiply
    1,060.47x = 1,463.42 × 594.72
  4. Step 4: Simplify right side
    1,060.47x = 870,326.63
  5. Step 5: Solve for x
    x = 870,326.63/1,060.47
  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.