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Finding the Fourth Proportional to 1,109.98, 1,531.75 and 637.88

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Solution

The fourth proportional to 1,109.98, 1,531.75 and 637.88 is: 880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.98 : 1,531.75 = 637.88 : x
  2. Step 2: Convert to fraction form
    1,109.98/1,531.75 = 637.88/x
  3. Step 3: Cross multiply
    1,109.98x = 1,531.75 × 637.88
  4. Step 4: Simplify right side
    1,109.98x = 977,072.69
  5. Step 5: Solve for x
    x = 977,072.69/1,109.98
  6. Step 6: Final answer
    x = 880.26

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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.