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Finding the Fourth Proportional to 808.33, 1,115.36 and 454.23

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Solution

The fourth proportional to 808.33, 1,115.36 and 454.23 is: 626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.33 : 1,115.36 = 454.23 : x
  2. Step 2: Convert to fraction form
    808.33/1,115.36 = 454.23/x
  3. Step 3: Cross multiply
    808.33x = 1,115.36 × 454.23
  4. Step 4: Simplify right side
    808.33x = 506,627.70
  5. Step 5: Solve for x
    x = 506,627.70/808.33
  6. Step 6: Final answer
    x = 626.76

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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.