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Finding the Fourth Proportional to 1,005.57, 1,387.70 and 563.48

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Solution

The fourth proportional to 1,005.57, 1,387.70 and 563.48 is: 777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.57 : 1,387.70 = 563.48 : x
  2. Step 2: Convert to fraction form
    1,005.57/1,387.70 = 563.48/x
  3. Step 3: Cross multiply
    1,005.57x = 1,387.70 × 563.48
  4. Step 4: Simplify right side
    1,005.57x = 781,941.20
  5. Step 5: Solve for x
    x = 781,941.20/1,005.57
  6. Step 6: Final answer
    x = 777.61

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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.