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Finding the Fourth Proportional to 856.43, 1,180.60 and 737.90

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Solution

The fourth proportional to 856.43, 1,180.60 and 737.90 is: 1,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.43 : 1,180.60 = 737.90 : x
  2. Step 2: Convert to fraction form
    856.43/1,180.60 = 737.90/x
  3. Step 3: Cross multiply
    856.43x = 1,180.60 × 737.90
  4. Step 4: Simplify right side
    856.43x = 871,164.74
  5. Step 5: Solve for x
    x = 871,164.74/856.43
  6. Step 6: Final answer
    x = 1,017.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.