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Finding the Fourth Proportional to 1,423.32, 2,135.32 and 545.78

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Solution

The fourth proportional to 1,423.32, 2,135.32 and 545.78 is: 818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.32 : 2,135.32 = 545.78 : x
  2. Step 2: Convert to fraction form
    1,423.32/2,135.32 = 545.78/x
  3. Step 3: Cross multiply
    1,423.32x = 2,135.32 × 545.78
  4. Step 4: Simplify right side
    1,423.32x = 1,165,414.95
  5. Step 5: Solve for x
    x = 1,165,414.95/1,423.32
  6. Step 6: Final answer
    x = 818.80

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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.