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Finding the Fourth Proportional to 1,042.07, 1,562.49 and 392.85

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Solution

The fourth proportional to 1,042.07, 1,562.49 and 392.85 is: 589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.07 : 1,562.49 = 392.85 : x
  2. Step 2: Convert to fraction form
    1,042.07/1,562.49 = 392.85/x
  3. Step 3: Cross multiply
    1,042.07x = 1,562.49 × 392.85
  4. Step 4: Simplify right side
    1,042.07x = 613,824.20
  5. Step 5: Solve for x
    x = 613,824.20/1,042.07
  6. Step 6: Final answer
    x = 589.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.