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Finding the Fourth Proportional to 869.56, 1,304.34 and 407.20

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Solution

The fourth proportional to 869.56, 1,304.34 and 407.20 is: 610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.56 : 1,304.34 = 407.20 : x
  2. Step 2: Convert to fraction form
    869.56/1,304.34 = 407.20/x
  3. Step 3: Cross multiply
    869.56x = 1,304.34 × 407.20
  4. Step 4: Simplify right side
    869.56x = 531,127.25
  5. Step 5: Solve for x
    x = 531,127.25/869.56
  6. Step 6: Final answer
    x = 610.80

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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.