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Finding the Fourth Proportional to 800.25, 1,104.35 and 432.25

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Solution

The fourth proportional to 800.25, 1,104.35 and 432.25 is: 596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.25 : 1,104.35 = 432.25 : x
  2. Step 2: Convert to fraction form
    800.25/1,104.35 = 432.25/x
  3. Step 3: Cross multiply
    800.25x = 1,104.35 × 432.25
  4. Step 4: Simplify right side
    800.25x = 477,353.13
  5. Step 5: Solve for x
    x = 477,353.13/800.25
  6. Step 6: Final answer
    x = 596.51

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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.