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Finding the Fourth Proportional to 738.42, 1,019.91 and 552.73

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Solution

The fourth proportional to 738.42, 1,019.91 and 552.73 is: 763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.42 : 1,019.91 = 552.73 : x
  2. Step 2: Convert to fraction form
    738.42/1,019.91 = 552.73/x
  3. Step 3: Cross multiply
    738.42x = 1,019.91 × 552.73
  4. Step 4: Simplify right side
    738.42x = 563,734.85
  5. Step 5: Solve for x
    x = 563,734.85/738.42
  6. Step 6: Final answer
    x = 763.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.