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Finding the Fourth Proportional to 1,199.04, 1,654.22 and 726.76

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Solution

The fourth proportional to 1,199.04, 1,654.22 and 726.76 is: 1,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.04 : 1,654.22 = 726.76 : x
  2. Step 2: Convert to fraction form
    1,199.04/1,654.22 = 726.76/x
  3. Step 3: Cross multiply
    1,199.04x = 1,654.22 × 726.76
  4. Step 4: Simplify right side
    1,199.04x = 1,202,220.93
  5. Step 5: Solve for x
    x = 1,202,220.93/1,199.04
  6. Step 6: Final answer
    x = 1,002.65

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1.5x scale

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.