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Finding the Fourth Proportional to 1,042.77, 1,563.13 and 800.31

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Solution

The fourth proportional to 1,042.77, 1,563.13 and 800.31 is: 1,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.77 : 1,563.13 = 800.31 : x
  2. Step 2: Convert to fraction form
    1,042.77/1,563.13 = 800.31/x
  3. Step 3: Cross multiply
    1,042.77x = 1,563.13 × 800.31
  4. Step 4: Simplify right side
    1,042.77x = 1,250,988.57
  5. Step 5: Solve for x
    x = 1,250,988.57/1,042.77
  6. Step 6: Final answer
    x = 1,199.68

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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.