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Finding the Fourth Proportional to 1,105.29, 1,657.98 and 813.15

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Solution

The fourth proportional to 1,105.29, 1,657.98 and 813.15 is: 1,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.29 : 1,657.98 = 813.15 : x
  2. Step 2: Convert to fraction form
    1,105.29/1,657.98 = 813.15/x
  3. Step 3: Cross multiply
    1,105.29x = 1,657.98 × 813.15
  4. Step 4: Simplify right side
    1,105.29x = 1,348,186.44
  5. Step 5: Solve for x
    x = 1,348,186.44/1,105.29
  6. Step 6: Final answer
    x = 1,219.76

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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.