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Finding the Fourth Proportional to 837, 1,153.80 and 738.20

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Solution

The fourth proportional to 837, 1,153.80 and 738.20 is: 1,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    837 : 1,153.80 = 738.20 : x
  2. Step 2: Convert to fraction form
    837/1,153.80 = 738.20/x
  3. Step 3: Cross multiply
    837x = 1,153.80 × 738.20
  4. Step 4: Simplify right side
    837x = 851,735.16
  5. Step 5: Solve for x
    x = 851,735.16/837
  6. Step 6: Final answer
    x = 1,017.60

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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.