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Finding the Fourth Proportional to 1,099.85, 1,649.52 and 319.85

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Solution

The fourth proportional to 1,099.85, 1,649.52 and 319.85 is: 479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.85 : 1,649.52 = 319.85 : x
  2. Step 2: Convert to fraction form
    1,099.85/1,649.52 = 319.85/x
  3. Step 3: Cross multiply
    1,099.85x = 1,649.52 × 319.85
  4. Step 4: Simplify right side
    1,099.85x = 527,598.97
  5. Step 5: Solve for x
    x = 527,598.97/1,099.85
  6. Step 6: Final answer
    x = 479.70

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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.