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Finding the Fourth Proportional to 1,354.92, 2,030.78 and 892.58

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Solution

The fourth proportional to 1,354.92, 2,030.78 and 892.58 is: 1,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.92 : 2,030.78 = 892.58 : x
  2. Step 2: Convert to fraction form
    1,354.92/2,030.78 = 892.58/x
  3. Step 3: Cross multiply
    1,354.92x = 2,030.78 × 892.58
  4. Step 4: Simplify right side
    1,354.92x = 1,812,633.61
  5. Step 5: Solve for x
    x = 1,812,633.61/1,354.92
  6. Step 6: Final answer
    x = 1,337.82

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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.