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Finding the Fourth Proportional to 838.55, 1,157.02 and 506.91

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Solution

The fourth proportional to 838.55, 1,157.02 and 506.91 is: 699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.55 : 1,157.02 = 506.91 : x
  2. Step 2: Convert to fraction form
    838.55/1,157.02 = 506.91/x
  3. Step 3: Cross multiply
    838.55x = 1,157.02 × 506.91
  4. Step 4: Simplify right side
    838.55x = 586,505.01
  5. Step 5: Solve for x
    x = 586,505.01/838.55
  6. Step 6: Final answer
    x = 699.43

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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.