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Finding the Fourth Proportional to 749.27, 1,034.16 and 486.83

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Solution

The fourth proportional to 749.27, 1,034.16 and 486.83 is: 671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.27 : 1,034.16 = 486.83 : x
  2. Step 2: Convert to fraction form
    749.27/1,034.16 = 486.83/x
  3. Step 3: Cross multiply
    749.27x = 1,034.16 × 486.83
  4. Step 4: Simplify right side
    749.27x = 503,454.94
  5. Step 5: Solve for x
    x = 503,454.94/749.27
  6. Step 6: Final answer
    x = 671.93

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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.