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Finding the Fourth Proportional to 645.52, 891.04 and 380.02

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Solution

The fourth proportional to 645.52, 891.04 and 380.02 is: 524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.52 : 891.04 = 380.02 : x
  2. Step 2: Convert to fraction form
    645.52/891.04 = 380.02/x
  3. Step 3: Cross multiply
    645.52x = 891.04 × 380.02
  4. Step 4: Simplify right side
    645.52x = 338,613.02
  5. Step 5: Solve for x
    x = 338,613.02/645.52
  6. Step 6: Final answer
    x = 524.56

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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.