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Finding the Fourth Proportional to 837.32, 1,254.78 and 734.36

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Solution

The fourth proportional to 837.32, 1,254.78 and 734.36 is: 1,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.32 : 1,254.78 = 734.36 : x
  2. Step 2: Convert to fraction form
    837.32/1,254.78 = 734.36/x
  3. Step 3: Cross multiply
    837.32x = 1,254.78 × 734.36
  4. Step 4: Simplify right side
    837.32x = 921,460.24
  5. Step 5: Solve for x
    x = 921,460.24/837.32
  6. Step 6: Final answer
    x = 1,100.49

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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.