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Finding the Fourth Proportional to 749.42, 1,034.19 and 434.66

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Solution

The fourth proportional to 749.42, 1,034.19 and 434.66 is: 599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.42 : 1,034.19 = 434.66 : x
  2. Step 2: Convert to fraction form
    749.42/1,034.19 = 434.66/x
  3. Step 3: Cross multiply
    749.42x = 1,034.19 × 434.66
  4. Step 4: Simplify right side
    749.42x = 449,521.03
  5. Step 5: Solve for x
    x = 449,521.03/749.42
  6. Step 6: Final answer
    x = 599.83

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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.