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Finding the Fourth Proportional to 891.32, 1,230.14 and 498.40

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Solution

The fourth proportional to 891.32, 1,230.14 and 498.40 is: 687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.32 : 1,230.14 = 498.40 : x
  2. Step 2: Convert to fraction form
    891.32/1,230.14 = 498.40/x
  3. Step 3: Cross multiply
    891.32x = 1,230.14 × 498.40
  4. Step 4: Simplify right side
    891.32x = 613,101.78
  5. Step 5: Solve for x
    x = 613,101.78/891.32
  6. Step 6: Final answer
    x = 687.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.