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Finding the Fourth Proportional to 837.80, 1,254.14 and 818.60

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Solution

The fourth proportional to 837.80, 1,254.14 and 818.60 is: 1,225.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.80 : 1,254.14 = 818.60 : x
  2. Step 2: Convert to fraction form
    837.80/1,254.14 = 818.60/x
  3. Step 3: Cross multiply
    837.80x = 1,254.14 × 818.60
  4. Step 4: Simplify right side
    837.80x = 1,026,639.00
  5. Step 5: Solve for x
    x = 1,026,639.00/837.80
  6. Step 6: Final answer
    x = 1,225.40

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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.