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Finding the Fourth Proportional to 834.66, 1,151.87 and 520.11

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Solution

The fourth proportional to 834.66, 1,151.87 and 520.11 is: 717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.66 : 1,151.87 = 520.11 : x
  2. Step 2: Convert to fraction form
    834.66/1,151.87 = 520.11/x
  3. Step 3: Cross multiply
    834.66x = 1,151.87 × 520.11
  4. Step 4: Simplify right side
    834.66x = 599,096.51
  5. Step 5: Solve for x
    x = 599,096.51/834.66
  6. Step 6: Final answer
    x = 717.77

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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.