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Finding the Fourth Proportional to 1,023.20, 1,526.92 and 816.80

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Solution

The fourth proportional to 1,023.20, 1,526.92 and 816.80 is: 1,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.20 : 1,526.92 = 816.80 : x
  2. Step 2: Convert to fraction form
    1,023.20/1,526.92 = 816.80/x
  3. Step 3: Cross multiply
    1,023.20x = 1,526.92 × 816.80
  4. Step 4: Simplify right side
    1,023.20x = 1,247,188.26
  5. Step 5: Solve for x
    x = 1,247,188.26/1,023.20
  6. Step 6: Final answer
    x = 1,218.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.