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Finding the Fourth Proportional to 1,116.08, 1,540.38 and 643.89

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Solution

The fourth proportional to 1,116.08, 1,540.38 and 643.89 is: 888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.08 : 1,540.38 = 643.89 : x
  2. Step 2: Convert to fraction form
    1,116.08/1,540.38 = 643.89/x
  3. Step 3: Cross multiply
    1,116.08x = 1,540.38 × 643.89
  4. Step 4: Simplify right side
    1,116.08x = 991,835.28
  5. Step 5: Solve for x
    x = 991,835.28/1,116.08
  6. Step 6: Final answer
    x = 888.68

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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.