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Finding the Fourth Proportional to 834.63, 1,151.91 and 515.79

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Solution

The fourth proportional to 834.63, 1,151.91 and 515.79 is: 711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.63 : 1,151.91 = 515.79 : x
  2. Step 2: Convert to fraction form
    834.63/1,151.91 = 515.79/x
  3. Step 3: Cross multiply
    834.63x = 1,151.91 × 515.79
  4. Step 4: Simplify right side
    834.63x = 594,143.66
  5. Step 5: Solve for x
    x = 594,143.66/834.63
  6. Step 6: Final answer
    x = 711.86

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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.