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Finding the Fourth Proportional to 808.26, 1,115.50 and 454.20

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Solution

The fourth proportional to 808.26, 1,115.50 and 454.20 is: 626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.26 : 1,115.50 = 454.20 : x
  2. Step 2: Convert to fraction form
    808.26/1,115.50 = 454.20/x
  3. Step 3: Cross multiply
    808.26x = 1,115.50 × 454.20
  4. Step 4: Simplify right side
    808.26x = 506,660.10
  5. Step 5: Solve for x
    x = 506,660.10/808.26
  6. Step 6: Final answer
    x = 626.85

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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.