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Finding the Fourth Proportional to 891.92, 1,338.36 and 459.92

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Solution

The fourth proportional to 891.92, 1,338.36 and 459.92 is: 690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.92 : 1,338.36 = 459.92 : x
  2. Step 2: Convert to fraction form
    891.92/1,338.36 = 459.92/x
  3. Step 3: Cross multiply
    891.92x = 1,338.36 × 459.92
  4. Step 4: Simplify right side
    891.92x = 615,538.53
  5. Step 5: Solve for x
    x = 615,538.53/891.92
  6. Step 6: Final answer
    x = 690.13

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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.