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Finding the Fourth Proportional to 1,116.32, 1,540.40 and 618.96

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Solution

The fourth proportional to 1,116.32, 1,540.40 and 618.96 is: 854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.32 : 1,540.40 = 618.96 : x
  2. Step 2: Convert to fraction form
    1,116.32/1,540.40 = 618.96/x
  3. Step 3: Cross multiply
    1,116.32x = 1,540.40 × 618.96
  4. Step 4: Simplify right side
    1,116.32x = 953,445.98
  5. Step 5: Solve for x
    x = 953,445.98/1,116.32
  6. Step 6: Final answer
    x = 854.10

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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.