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Finding the Fourth Proportional to 739.85, 1,110.15 and 479.78

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Solution

The fourth proportional to 739.85, 1,110.15 and 479.78 is: 719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.85 : 1,110.15 = 479.78 : x
  2. Step 2: Convert to fraction form
    739.85/1,110.15 = 479.78/x
  3. Step 3: Cross multiply
    739.85x = 1,110.15 × 479.78
  4. Step 4: Simplify right side
    739.85x = 532,622.22
  5. Step 5: Solve for x
    x = 532,622.22/739.85
  6. Step 6: Final answer
    x = 719.91

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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.