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Finding the Fourth Proportional to 1,104.68, 1,524.16 and 638.92

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Solution

The fourth proportional to 1,104.68, 1,524.16 and 638.92 is: 881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.68 : 1,524.16 = 638.92 : x
  2. Step 2: Convert to fraction form
    1,104.68/1,524.16 = 638.92/x
  3. Step 3: Cross multiply
    1,104.68x = 1,524.16 × 638.92
  4. Step 4: Simplify right side
    1,104.68x = 973,816.31
  5. Step 5: Solve for x
    x = 973,816.31/1,104.68
  6. Step 6: Final answer
    x = 881.54

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Half scale
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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.