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Finding the Fourth Proportional to 837.96, 1,254.59 and 631.88

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Solution

The fourth proportional to 837.96, 1,254.59 and 631.88 is: 946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.96 : 1,254.59 = 631.88 : x
  2. Step 2: Convert to fraction form
    837.96/1,254.59 = 631.88/x
  3. Step 3: Cross multiply
    837.96x = 1,254.59 × 631.88
  4. Step 4: Simplify right side
    837.96x = 792,750.33
  5. Step 5: Solve for x
    x = 792,750.33/837.96
  6. Step 6: Final answer
    x = 946.05

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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.