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Finding the Fourth Proportional to 803.68, 1,109.10 and 454.45

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Solution

The fourth proportional to 803.68, 1,109.10 and 454.45 is: 627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.68 : 1,109.10 = 454.45 : x
  2. Step 2: Convert to fraction form
    803.68/1,109.10 = 454.45/x
  3. Step 3: Cross multiply
    803.68x = 1,109.10 × 454.45
  4. Step 4: Simplify right side
    803.68x = 504,030.50
  5. Step 5: Solve for x
    x = 504,030.50/803.68
  6. Step 6: Final answer
    x = 627.15

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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.