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Finding the Fourth Proportional to 720.40, 1,079.96 and 335.44

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Solution

The fourth proportional to 720.40, 1,079.96 and 335.44 is: 502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.40 : 1,079.96 = 335.44 : x
  2. Step 2: Convert to fraction form
    720.40/1,079.96 = 335.44/x
  3. Step 3: Cross multiply
    720.40x = 1,079.96 × 335.44
  4. Step 4: Simplify right side
    720.40x = 362,261.78
  5. Step 5: Solve for x
    x = 362,261.78/720.40
  6. Step 6: Final answer
    x = 502.86

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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.