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Finding the Fourth Proportional to 1,042.59, 1,562.86 and 384.31

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Solution

The fourth proportional to 1,042.59, 1,562.86 and 384.31 is: 576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.59 : 1,562.86 = 384.31 : x
  2. Step 2: Convert to fraction form
    1,042.59/1,562.86 = 384.31/x
  3. Step 3: Cross multiply
    1,042.59x = 1,562.86 × 384.31
  4. Step 4: Simplify right side
    1,042.59x = 600,622.73
  5. Step 5: Solve for x
    x = 600,622.73/1,042.59
  6. Step 6: Final answer
    x = 576.09

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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.