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Finding the Fourth Proportional to 1,545.86, 2,319.54 and 765.93

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Solution

The fourth proportional to 1,545.86, 2,319.54 and 765.93 is: 1,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.86 : 2,319.54 = 765.93 : x
  2. Step 2: Convert to fraction form
    1,545.86/2,319.54 = 765.93/x
  3. Step 3: Cross multiply
    1,545.86x = 2,319.54 × 765.93
  4. Step 4: Simplify right side
    1,545.86x = 1,776,604.57
  5. Step 5: Solve for x
    x = 1,776,604.57/1,545.86
  6. Step 6: Final answer
    x = 1,149.27

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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.