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Finding the Fourth Proportional to 741.32, 1,111.80 and 279.14

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Solution

The fourth proportional to 741.32, 1,111.80 and 279.14 is: 418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.32 : 1,111.80 = 279.14 : x
  2. Step 2: Convert to fraction form
    741.32/1,111.80 = 279.14/x
  3. Step 3: Cross multiply
    741.32x = 1,111.80 × 279.14
  4. Step 4: Simplify right side
    741.32x = 310,347.85
  5. Step 5: Solve for x
    x = 310,347.85/741.32
  6. Step 6: Final answer
    x = 418.65

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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.