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Finding the Fourth Proportional to 1,104.59, 1,524.17 and 638.75

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Solution

The fourth proportional to 1,104.59, 1,524.17 and 638.75 is: 881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.59 : 1,524.17 = 638.75 : x
  2. Step 2: Convert to fraction form
    1,104.59/1,524.17 = 638.75/x
  3. Step 3: Cross multiply
    1,104.59x = 1,524.17 × 638.75
  4. Step 4: Simplify right side
    1,104.59x = 973,560.39
  5. Step 5: Solve for x
    x = 973,560.39/1,104.59
  6. Step 6: Final answer
    x = 881.38

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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.