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Finding the Fourth Proportional to 836.46, 1,154.25 and 649.74

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Solution

The fourth proportional to 836.46, 1,154.25 and 649.74 is: 896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.46 : 1,154.25 = 649.74 : x
  2. Step 2: Convert to fraction form
    836.46/1,154.25 = 649.74/x
  3. Step 3: Cross multiply
    836.46x = 1,154.25 × 649.74
  4. Step 4: Simplify right side
    836.46x = 749,962.40
  5. Step 5: Solve for x
    x = 749,962.40/836.46
  6. Step 6: Final answer
    x = 896.59

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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.