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Finding the Fourth Proportional to 837.44, 1,256.48 and 472.64

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Solution

The fourth proportional to 837.44, 1,256.48 and 472.64 is: 709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.44 : 1,256.48 = 472.64 : x
  2. Step 2: Convert to fraction form
    837.44/1,256.48 = 472.64/x
  3. Step 3: Cross multiply
    837.44x = 1,256.48 × 472.64
  4. Step 4: Simplify right side
    837.44x = 593,862.71
  5. Step 5: Solve for x
    x = 593,862.71/837.44
  6. Step 6: Final answer
    x = 709.14

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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.