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Finding the Fourth Proportional to 727.24, 1,091.04 and 316.45

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Solution

The fourth proportional to 727.24, 1,091.04 and 316.45 is: 474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.24 : 1,091.04 = 316.45 : x
  2. Step 2: Convert to fraction form
    727.24/1,091.04 = 316.45/x
  3. Step 3: Cross multiply
    727.24x = 1,091.04 × 316.45
  4. Step 4: Simplify right side
    727.24x = 345,259.61
  5. Step 5: Solve for x
    x = 345,259.61/727.24
  6. Step 6: Final answer
    x = 474.75

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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.