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Finding the Fourth Proportional to 1,125.87, 1,553.72 and 653.77

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Solution

The fourth proportional to 1,125.87, 1,553.72 and 653.77 is: 902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.87 : 1,553.72 = 653.77 : x
  2. Step 2: Convert to fraction form
    1,125.87/1,553.72 = 653.77/x
  3. Step 3: Cross multiply
    1,125.87x = 1,553.72 × 653.77
  4. Step 4: Simplify right side
    1,125.87x = 1,015,775.52
  5. Step 5: Solve for x
    x = 1,015,775.52/1,125.87
  6. Step 6: Final answer
    x = 902.21

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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.