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Finding the Fourth Proportional to 800.02, 1,104.03 and 445.93

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Solution

The fourth proportional to 800.02, 1,104.03 and 445.93 is: 615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.02 : 1,104.03 = 445.93 : x
  2. Step 2: Convert to fraction form
    800.02/1,104.03 = 445.93/x
  3. Step 3: Cross multiply
    800.02x = 1,104.03 × 445.93
  4. Step 4: Simplify right side
    800.02x = 492,320.10
  5. Step 5: Solve for x
    x = 492,320.10/800.02
  6. Step 6: Final answer
    x = 615.38

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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.