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Finding the Fourth Proportional to 874.04, 1,304.95 and 751.80

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Solution

The fourth proportional to 874.04, 1,304.95 and 751.80 is: 1,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.04 : 1,304.95 = 751.80 : x
  2. Step 2: Convert to fraction form
    874.04/1,304.95 = 751.80/x
  3. Step 3: Cross multiply
    874.04x = 1,304.95 × 751.80
  4. Step 4: Simplify right side
    874.04x = 981,061.41
  5. Step 5: Solve for x
    x = 981,061.41/874.04
  6. Step 6: Final answer
    x = 1,122.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.