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Finding the Fourth Proportional to 1,042.25, 1,563.92 and 529.25

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Solution

The fourth proportional to 1,042.25, 1,563.92 and 529.25 is: 794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.25 : 1,563.92 = 529.25 : x
  2. Step 2: Convert to fraction form
    1,042.25/1,563.92 = 529.25/x
  3. Step 3: Cross multiply
    1,042.25x = 1,563.92 × 529.25
  4. Step 4: Simplify right side
    1,042.25x = 827,702.01
  5. Step 5: Solve for x
    x = 827,702.01/1,042.25
  6. Step 6: Final answer
    x = 794.15

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Why These Related Problems?

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