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Finding the Fourth Proportional to 728.60, 1,094.11 and 478.85

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Solution

The fourth proportional to 728.60, 1,094.11 and 478.85 is: 719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.60 : 1,094.11 = 478.85 : x
  2. Step 2: Convert to fraction form
    728.60/1,094.11 = 478.85/x
  3. Step 3: Cross multiply
    728.60x = 1,094.11 × 478.85
  4. Step 4: Simplify right side
    728.60x = 523,914.70
  5. Step 5: Solve for x
    x = 523,914.70/728.60
  6. Step 6: Final answer
    x = 719.07

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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.