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Finding the Fourth Proportional to 869.93, 1,304.87 and 292.80

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Solution

The fourth proportional to 869.93, 1,304.87 and 292.80 is: 439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.93 : 1,304.87 = 292.80 : x
  2. Step 2: Convert to fraction form
    869.93/1,304.87 = 292.80/x
  3. Step 3: Cross multiply
    869.93x = 1,304.87 × 292.80
  4. Step 4: Simplify right side
    869.93x = 382,064.47
  5. Step 5: Solve for x
    x = 382,064.47/869.93
  6. Step 6: Final answer
    x = 439.19

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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.