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Finding the Fourth Proportional to 1,042.92, 1,439.10 and 577.08

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Solution

The fourth proportional to 1,042.92, 1,439.10 and 577.08 is: 796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.92 : 1,439.10 = 577.08 : x
  2. Step 2: Convert to fraction form
    1,042.92/1,439.10 = 577.08/x
  3. Step 3: Cross multiply
    1,042.92x = 1,439.10 × 577.08
  4. Step 4: Simplify right side
    1,042.92x = 830,475.83
  5. Step 5: Solve for x
    x = 830,475.83/1,042.92
  6. Step 6: Final answer
    x = 796.30

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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.