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Finding the Fourth Proportional to 749.46, 1,034.25 and 434.78

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Solution

The fourth proportional to 749.46, 1,034.25 and 434.78 is: 600.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.46 : 1,034.25 = 434.78 : x
  2. Step 2: Convert to fraction form
    749.46/1,034.25 = 434.78/x
  3. Step 3: Cross multiply
    749.46x = 1,034.25 × 434.78
  4. Step 4: Simplify right side
    749.46x = 449,671.22
  5. Step 5: Solve for x
    x = 449,671.22/749.46
  6. Step 6: Final answer
    x = 600.00

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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.