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Finding the Fourth Proportional to 837.14, 1,149.03 and 741.78

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Solution

The fourth proportional to 837.14, 1,149.03 and 741.78 is: 1,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.14 : 1,149.03 = 741.78 : x
  2. Step 2: Convert to fraction form
    837.14/1,149.03 = 741.78/x
  3. Step 3: Cross multiply
    837.14x = 1,149.03 × 741.78
  4. Step 4: Simplify right side
    837.14x = 852,327.47
  5. Step 5: Solve for x
    x = 852,327.47/837.14
  6. Step 6: Final answer
    x = 1,018.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.