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Finding the Fourth Proportional to 1,109.79, 1,531.48 and 637.68

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Solution

The fourth proportional to 1,109.79, 1,531.48 and 637.68 is: 879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.79 : 1,531.48 = 637.68 : x
  2. Step 2: Convert to fraction form
    1,109.79/1,531.48 = 637.68/x
  3. Step 3: Cross multiply
    1,109.79x = 1,531.48 × 637.68
  4. Step 4: Simplify right side
    1,109.79x = 976,594.17
  5. Step 5: Solve for x
    x = 976,594.17/1,109.79
  6. Step 6: Final answer
    x = 879.98

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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.