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Finding the Fourth Proportional to 836.32, 1,256.40 and 581.44

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Solution

The fourth proportional to 836.32, 1,256.40 and 581.44 is: 873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.32 : 1,256.40 = 581.44 : x
  2. Step 2: Convert to fraction form
    836.32/1,256.40 = 581.44/x
  3. Step 3: Cross multiply
    836.32x = 1,256.40 × 581.44
  4. Step 4: Simplify right side
    836.32x = 730,521.22
  5. Step 5: Solve for x
    x = 730,521.22/836.32
  6. Step 6: Final answer
    x = 873.49

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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.