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Finding the Fourth Proportional to 838.59, 1,154.90 and 820.43

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Solution

The fourth proportional to 838.59, 1,154.90 and 820.43 is: 1,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.59 : 1,154.90 = 820.43 : x
  2. Step 2: Convert to fraction form
    838.59/1,154.90 = 820.43/x
  3. Step 3: Cross multiply
    838.59x = 1,154.90 × 820.43
  4. Step 4: Simplify right side
    838.59x = 947,517.23
  5. Step 5: Solve for x
    x = 947,517.23/838.59
  6. Step 6: Final answer
    x = 1,129.90

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1.5x scale

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.