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Finding the Fourth Proportional to 869.38, 1,304.48 and 407.45

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Solution

The fourth proportional to 869.38, 1,304.48 and 407.45 is: 611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.38 : 1,304.48 = 407.45 : x
  2. Step 2: Convert to fraction form
    869.38/1,304.48 = 407.45/x
  3. Step 3: Cross multiply
    869.38x = 1,304.48 × 407.45
  4. Step 4: Simplify right side
    869.38x = 531,514.66
  5. Step 5: Solve for x
    x = 531,514.66/869.38
  6. Step 6: Final answer
    x = 611.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.