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Finding the Fourth Proportional to 1,110.11, 1,531.92 and 638.00

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Solution

The fourth proportional to 1,110.11, 1,531.92 and 638.00 is: 880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.11 : 1,531.92 = 638.00 : x
  2. Step 2: Convert to fraction form
    1,110.11/1,531.92 = 638.00/x
  3. Step 3: Cross multiply
    1,110.11x = 1,531.92 × 638.00
  4. Step 4: Simplify right side
    1,110.11x = 977,357.30
  5. Step 5: Solve for x
    x = 977,357.30/1,110.11
  6. Step 6: Final answer
    x = 880.41

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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.