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Finding the Fourth Proportional to 837.12, 1,156.36 and 605.46

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Solution

The fourth proportional to 837.12, 1,156.36 and 605.46 is: 836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.12 : 1,156.36 = 605.46 : x
  2. Step 2: Convert to fraction form
    837.12/1,156.36 = 605.46/x
  3. Step 3: Cross multiply
    837.12x = 1,156.36 × 605.46
  4. Step 4: Simplify right side
    837.12x = 700,129.73
  5. Step 5: Solve for x
    x = 700,129.73/837.12
  6. Step 6: Final answer
    x = 836.36

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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.