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Finding the Fourth Proportional to 869.80, 1,200.49 and 496.74

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Solution

The fourth proportional to 869.80, 1,200.49 and 496.74 is: 685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.80 : 1,200.49 = 496.74 : x
  2. Step 2: Convert to fraction form
    869.80/1,200.49 = 496.74/x
  3. Step 3: Cross multiply
    869.80x = 1,200.49 × 496.74
  4. Step 4: Simplify right side
    869.80x = 596,331.40
  5. Step 5: Solve for x
    x = 596,331.40/869.80
  6. Step 6: Final answer
    x = 685.60

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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.