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Finding the Fourth Proportional to 1,116.62, 1,540.95 and 619.27

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Solution

The fourth proportional to 1,116.62, 1,540.95 and 619.27 is: 854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.62 : 1,540.95 = 619.27 : x
  2. Step 2: Convert to fraction form
    1,116.62/1,540.95 = 619.27/x
  3. Step 3: Cross multiply
    1,116.62x = 1,540.95 × 619.27
  4. Step 4: Simplify right side
    1,116.62x = 954,264.11
  5. Step 5: Solve for x
    x = 954,264.11/1,116.62
  6. Step 6: Final answer
    x = 854.60

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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.