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Finding the Fourth Proportional to 800.64, 1,105.20 and 552.96

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Solution

The fourth proportional to 800.64, 1,105.20 and 552.96 is: 763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.64 : 1,105.20 = 552.96 : x
  2. Step 2: Convert to fraction form
    800.64/1,105.20 = 552.96/x
  3. Step 3: Cross multiply
    800.64x = 1,105.20 × 552.96
  4. Step 4: Simplify right side
    800.64x = 611,131.39
  5. Step 5: Solve for x
    x = 611,131.39/800.64
  6. Step 6: Final answer
    x = 763.30

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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.