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Finding the Fourth Proportional to 1,545.90, 2,319.11 and 765.94

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Solution

The fourth proportional to 1,545.90, 2,319.11 and 765.94 is: 1,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.90 : 2,319.11 = 765.94 : x
  2. Step 2: Convert to fraction form
    1,545.90/2,319.11 = 765.94/x
  3. Step 3: Cross multiply
    1,545.90x = 2,319.11 × 765.94
  4. Step 4: Simplify right side
    1,545.90x = 1,776,289.49
  5. Step 5: Solve for x
    x = 1,776,289.49/1,545.90
  6. Step 6: Final answer
    x = 1,149.03

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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.