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Finding the Fourth Proportional to 729.85, 1,094.48 and 319.18

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Solution

The fourth proportional to 729.85, 1,094.48 and 319.18 is: 478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.85 : 1,094.48 = 319.18 : x
  2. Step 2: Convert to fraction form
    729.85/1,094.48 = 319.18/x
  3. Step 3: Cross multiply
    729.85x = 1,094.48 × 319.18
  4. Step 4: Simplify right side
    729.85x = 349,330.65
  5. Step 5: Solve for x
    x = 349,330.65/729.85
  6. Step 6: Final answer
    x = 478.64

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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.