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Finding the Fourth Proportional to 837.56, 1,254.72 and 644.24

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Solution

The fourth proportional to 837.56, 1,254.72 and 644.24 is: 965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.56 : 1,254.72 = 644.24 : x
  2. Step 2: Convert to fraction form
    837.56/1,254.72 = 644.24/x
  3. Step 3: Cross multiply
    837.56x = 1,254.72 × 644.24
  4. Step 4: Simplify right side
    837.56x = 808,340.81
  5. Step 5: Solve for x
    x = 808,340.81/837.56
  6. Step 6: Final answer
    x = 965.11

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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.