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Finding the Fourth Proportional to 891.31, 1,230.06 and 498.34

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Solution

The fourth proportional to 891.31, 1,230.06 and 498.34 is: 687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.31 : 1,230.06 = 498.34 : x
  2. Step 2: Convert to fraction form
    891.31/1,230.06 = 498.34/x
  3. Step 3: Cross multiply
    891.31x = 1,230.06 × 498.34
  4. Step 4: Simplify right side
    891.31x = 612,988.10
  5. Step 5: Solve for x
    x = 612,988.10/891.31
  6. Step 6: Final answer
    x = 687.74

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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.