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Finding the Fourth Proportional to 869.55, 1,199.97 and 471.20

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Solution

The fourth proportional to 869.55, 1,199.97 and 471.20 is: 650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.55 : 1,199.97 = 471.20 : x
  2. Step 2: Convert to fraction form
    869.55/1,199.97 = 471.20/x
  3. Step 3: Cross multiply
    869.55x = 1,199.97 × 471.20
  4. Step 4: Simplify right side
    869.55x = 565,425.86
  5. Step 5: Solve for x
    x = 565,425.86/869.55
  6. Step 6: Final answer
    x = 650.25

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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.