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Finding the Fourth Proportional to 817.60, 1,226.40 and 542.20

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Solution

The fourth proportional to 817.60, 1,226.40 and 542.20 is: 813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.60 : 1,226.40 = 542.20 : x
  2. Step 2: Convert to fraction form
    817.60/1,226.40 = 542.20/x
  3. Step 3: Cross multiply
    817.60x = 1,226.40 × 542.20
  4. Step 4: Simplify right side
    817.60x = 664,954.08
  5. Step 5: Solve for x
    x = 664,954.08/817.60
  6. Step 6: Final answer
    x = 813.30

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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.