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Finding the Fourth Proportional to 741.80, 1,121.12 and 729.04

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Solution

The fourth proportional to 741.80, 1,121.12 and 729.04 is: 1,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.80 : 1,121.12 = 729.04 : x
  2. Step 2: Convert to fraction form
    741.80/1,121.12 = 729.04/x
  3. Step 3: Cross multiply
    741.80x = 1,121.12 × 729.04
  4. Step 4: Simplify right side
    741.80x = 817,341.32
  5. Step 5: Solve for x
    x = 817,341.32/741.80
  6. Step 6: Final answer
    x = 1,101.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.