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Finding the Fourth Proportional to 814.95, 1,124.33 and 638.60

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Solution

The fourth proportional to 814.95, 1,124.33 and 638.60 is: 881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.95 : 1,124.33 = 638.60 : x
  2. Step 2: Convert to fraction form
    814.95/1,124.33 = 638.60/x
  3. Step 3: Cross multiply
    814.95x = 1,124.33 × 638.60
  4. Step 4: Simplify right side
    814.95x = 717,988.32
  5. Step 5: Solve for x
    x = 717,988.32/814.95
  6. Step 6: Final answer
    x = 881.02

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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.