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Finding the Fourth Proportional to 836.42, 1,255.56 and 490.16

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Solution

The fourth proportional to 836.42, 1,255.56 and 490.16 is: 735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.42 : 1,255.56 = 490.16 : x
  2. Step 2: Convert to fraction form
    836.42/1,255.56 = 490.16/x
  3. Step 3: Cross multiply
    836.42x = 1,255.56 × 490.16
  4. Step 4: Simplify right side
    836.42x = 615,425.29
  5. Step 5: Solve for x
    x = 615,425.29/836.42
  6. Step 6: Final answer
    x = 735.78

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.