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Finding the Fourth Proportional to 800.18, 1,104.10 and 446.08

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Solution

The fourth proportional to 800.18, 1,104.10 and 446.08 is: 615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.18 : 1,104.10 = 446.08 : x
  2. Step 2: Convert to fraction form
    800.18/1,104.10 = 446.08/x
  3. Step 3: Cross multiply
    800.18x = 1,104.10 × 446.08
  4. Step 4: Simplify right side
    800.18x = 492,516.93
  5. Step 5: Solve for x
    x = 492,516.93/800.18
  6. Step 6: Final answer
    x = 615.51

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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.