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Finding the Fourth Proportional to 718.85, 1,078.28 and 231.90

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Solution

The fourth proportional to 718.85, 1,078.28 and 231.90 is: 347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.85 : 1,078.28 = 231.90 : x
  2. Step 2: Convert to fraction form
    718.85/1,078.28 = 231.90/x
  3. Step 3: Cross multiply
    718.85x = 1,078.28 × 231.90
  4. Step 4: Simplify right side
    718.85x = 250,051.97
  5. Step 5: Solve for x
    x = 250,051.97/718.85
  6. Step 6: Final answer
    x = 347.85

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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.