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Finding the Fourth Proportional to 836.34, 1,151.38 and 626.24

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Solution

The fourth proportional to 836.34, 1,151.38 and 626.24 is: 862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.34 : 1,151.38 = 626.24 : x
  2. Step 2: Convert to fraction form
    836.34/1,151.38 = 626.24/x
  3. Step 3: Cross multiply
    836.34x = 1,151.38 × 626.24
  4. Step 4: Simplify right side
    836.34x = 721,042.02
  5. Step 5: Solve for x
    x = 721,042.02/836.34
  6. Step 6: Final answer
    x = 862.14

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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.