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Finding the Fourth Proportional to 1,109.49, 1,531.11 and 637.46

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Solution

The fourth proportional to 1,109.49, 1,531.11 and 637.46 is: 879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.49 : 1,531.11 = 637.46 : x
  2. Step 2: Convert to fraction form
    1,109.49/1,531.11 = 637.46/x
  3. Step 3: Cross multiply
    1,109.49x = 1,531.11 × 637.46
  4. Step 4: Simplify right side
    1,109.49x = 976,021.38
  5. Step 5: Solve for x
    x = 976,021.38/1,109.49
  6. Step 6: Final answer
    x = 879.70

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Double scale
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1.5x scale

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.