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Finding the Fourth Proportional to 803.98, 1,109.50 and 454.66

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Solution

The fourth proportional to 803.98, 1,109.50 and 454.66 is: 627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.98 : 1,109.50 = 454.66 : x
  2. Step 2: Convert to fraction form
    803.98/1,109.50 = 454.66/x
  3. Step 3: Cross multiply
    803.98x = 1,109.50 × 454.66
  4. Step 4: Simplify right side
    803.98x = 504,445.27
  5. Step 5: Solve for x
    x = 504,445.27/803.98
  6. Step 6: Final answer
    x = 627.44

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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.