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Finding the Fourth Proportional to 800.40, 1,104.18 and 534.78

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Solution

The fourth proportional to 800.40, 1,104.18 and 534.78 is: 737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.40 : 1,104.18 = 534.78 : x
  2. Step 2: Convert to fraction form
    800.40/1,104.18 = 534.78/x
  3. Step 3: Cross multiply
    800.40x = 1,104.18 × 534.78
  4. Step 4: Simplify right side
    800.40x = 590,493.38
  5. Step 5: Solve for x
    x = 590,493.38/800.40
  6. Step 6: Final answer
    x = 737.75

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1.5x scale

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.