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Finding the Fourth Proportional to 749.91, 1,034.82 and 470.13

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Solution

The fourth proportional to 749.91, 1,034.82 and 470.13 is: 648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.91 : 1,034.82 = 470.13 : x
  2. Step 2: Convert to fraction form
    749.91/1,034.82 = 470.13/x
  3. Step 3: Cross multiply
    749.91x = 1,034.82 × 470.13
  4. Step 4: Simplify right side
    749.91x = 486,499.93
  5. Step 5: Solve for x
    x = 486,499.93/749.91
  6. Step 6: Final answer
    x = 648.74

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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.