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Finding the Fourth Proportional to 1,125.87, 1,553.77 and 628.52

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Solution

The fourth proportional to 1,125.87, 1,553.77 and 628.52 is: 867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.87 : 1,553.77 = 628.52 : x
  2. Step 2: Convert to fraction form
    1,125.87/1,553.77 = 628.52/x
  3. Step 3: Cross multiply
    1,125.87x = 1,553.77 × 628.52
  4. Step 4: Simplify right side
    1,125.87x = 976,565.00
  5. Step 5: Solve for x
    x = 976,565.00/1,125.87
  6. Step 6: Final answer
    x = 867.39

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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.