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Finding the Fourth Proportional to 1,354.28, 2,032.45 and 891.90

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Solution

The fourth proportional to 1,354.28, 2,032.45 and 891.90 is: 1,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.28 : 2,032.45 = 891.90 : x
  2. Step 2: Convert to fraction form
    1,354.28/2,032.45 = 891.90/x
  3. Step 3: Cross multiply
    1,354.28x = 2,032.45 × 891.90
  4. Step 4: Simplify right side
    1,354.28x = 1,812,742.16
  5. Step 5: Solve for x
    x = 1,812,742.16/1,354.28
  6. Step 6: Final answer
    x = 1,338.53

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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.