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Finding the Fourth Proportional to 1,099.59, 1,649.66 and 319.57

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Solution

The fourth proportional to 1,099.59, 1,649.66 and 319.57 is: 479.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.59 : 1,649.66 = 319.57 : x
  2. Step 2: Convert to fraction form
    1,099.59/1,649.66 = 319.57/x
  3. Step 3: Cross multiply
    1,099.59x = 1,649.66 × 319.57
  4. Step 4: Simplify right side
    1,099.59x = 527,182.34
  5. Step 5: Solve for x
    x = 527,182.34/1,099.59
  6. Step 6: Final answer
    x = 479.44

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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.