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Finding the Fourth Proportional to 1,363.66, 2,042.44 and 631.01

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Solution

The fourth proportional to 1,363.66, 2,042.44 and 631.01 is: 945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.66 : 2,042.44 = 631.01 : x
  2. Step 2: Convert to fraction form
    1,363.66/2,042.44 = 631.01/x
  3. Step 3: Cross multiply
    1,363.66x = 2,042.44 × 631.01
  4. Step 4: Simplify right side
    1,363.66x = 1,288,800.06
  5. Step 5: Solve for x
    x = 1,288,800.06/1,363.66
  6. Step 6: Final answer
    x = 945.10

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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.