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Finding the Fourth Proportional to 1,101.66, 1,649.20 and 813.30

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Solution

The fourth proportional to 1,101.66, 1,649.20 and 813.30 is: 1,217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.66 : 1,649.20 = 813.30 : x
  2. Step 2: Convert to fraction form
    1,101.66/1,649.20 = 813.30/x
  3. Step 3: Cross multiply
    1,101.66x = 1,649.20 × 813.30
  4. Step 4: Simplify right side
    1,101.66x = 1,341,294.36
  5. Step 5: Solve for x
    x = 1,341,294.36/1,101.66
  6. Step 6: Final answer
    x = 1,217.52

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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.