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Finding the Fourth Proportional to 1,125.39, 1,687.84 and 569.53

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Solution

The fourth proportional to 1,125.39, 1,687.84 and 569.53 is: 854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.39 : 1,687.84 = 569.53 : x
  2. Step 2: Convert to fraction form
    1,125.39/1,687.84 = 569.53/x
  3. Step 3: Cross multiply
    1,125.39x = 1,687.84 × 569.53
  4. Step 4: Simplify right side
    1,125.39x = 961,276.20
  5. Step 5: Solve for x
    x = 961,276.20/1,125.39
  6. Step 6: Final answer
    x = 854.17

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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.