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Finding the Fourth Proportional to 726.86, 1,090.49 and 316.08

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Solution

The fourth proportional to 726.86, 1,090.49 and 316.08 is: 474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.86 : 1,090.49 = 316.08 : x
  2. Step 2: Convert to fraction form
    726.86/1,090.49 = 316.08/x
  3. Step 3: Cross multiply
    726.86x = 1,090.49 × 316.08
  4. Step 4: Simplify right side
    726.86x = 344,680.50
  5. Step 5: Solve for x
    x = 344,680.50/726.86
  6. Step 6: Final answer
    x = 474.20

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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.