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Finding the Fourth Proportional to 1,363.60, 2,042.70 and 814.15

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Solution

The fourth proportional to 1,363.60, 2,042.70 and 814.15 is: 1,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.60 : 2,042.70 = 814.15 : x
  2. Step 2: Convert to fraction form
    1,363.60/2,042.70 = 814.15/x
  3. Step 3: Cross multiply
    1,363.60x = 2,042.70 × 814.15
  4. Step 4: Simplify right side
    1,363.60x = 1,663,064.21
  5. Step 5: Solve for x
    x = 1,663,064.21/1,363.60
  6. Step 6: Final answer
    x = 1,219.61

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1.5x scale

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.