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Finding the Fourth Proportional to 838.29, 1,156.87 and 506.65

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Solution

The fourth proportional to 838.29, 1,156.87 and 506.65 is: 699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.29 : 1,156.87 = 506.65 : x
  2. Step 2: Convert to fraction form
    838.29/1,156.87 = 506.65/x
  3. Step 3: Cross multiply
    838.29x = 1,156.87 × 506.65
  4. Step 4: Simplify right side
    838.29x = 586,134.94
  5. Step 5: Solve for x
    x = 586,134.94/838.29
  6. Step 6: Final answer
    x = 699.20

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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.