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Finding the Fourth Proportional to 838.50, 1,157.04 and 506.85

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Solution

The fourth proportional to 838.50, 1,157.04 and 506.85 is: 699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.50 : 1,157.04 = 506.85 : x
  2. Step 2: Convert to fraction form
    838.50/1,157.04 = 506.85/x
  3. Step 3: Cross multiply
    838.50x = 1,157.04 × 506.85
  4. Step 4: Simplify right side
    838.50x = 586,445.72
  5. Step 5: Solve for x
    x = 586,445.72/838.50
  6. Step 6: Final answer
    x = 699.40

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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.