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Finding the Fourth Proportional to 1,545.53, 2,318.09 and 765.23

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Solution

The fourth proportional to 1,545.53, 2,318.09 and 765.23 is: 1,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.53 : 2,318.09 = 765.23 : x
  2. Step 2: Convert to fraction form
    1,545.53/2,318.09 = 765.23/x
  3. Step 3: Cross multiply
    1,545.53x = 2,318.09 × 765.23
  4. Step 4: Simplify right side
    1,545.53x = 1,773,856.59
  5. Step 5: Solve for x
    x = 1,773,856.59/1,545.53
  6. Step 6: Final answer
    x = 1,147.74

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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.