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Finding the Fourth Proportional to 1,412.95, 2,118.14 and 546.61

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Solution

The fourth proportional to 1,412.95, 2,118.14 and 546.61 is: 819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.95 : 2,118.14 = 546.61 : x
  2. Step 2: Convert to fraction form
    1,412.95/2,118.14 = 546.61/x
  3. Step 3: Cross multiply
    1,412.95x = 2,118.14 × 546.61
  4. Step 4: Simplify right side
    1,412.95x = 1,157,793.77
  5. Step 5: Solve for x
    x = 1,157,793.77/1,412.95
  6. Step 6: Final answer
    x = 819.42

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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.