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Finding the Fourth Proportional to 734.57, 1,101.51 and 247.29

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Solution

The fourth proportional to 734.57, 1,101.51 and 247.29 is: 370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.57 : 1,101.51 = 247.29 : x
  2. Step 2: Convert to fraction form
    734.57/1,101.51 = 247.29/x
  3. Step 3: Cross multiply
    734.57x = 1,101.51 × 247.29
  4. Step 4: Simplify right side
    734.57x = 272,392.41
  5. Step 5: Solve for x
    x = 272,392.41/734.57
  6. Step 6: Final answer
    x = 370.82

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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.