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Finding the Fourth Proportional to 806.25, 1,209.38 and 293.25

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Solution

The fourth proportional to 806.25, 1,209.38 and 293.25 is: 439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.25 : 1,209.38 = 293.25 : x
  2. Step 2: Convert to fraction form
    806.25/1,209.38 = 293.25/x
  3. Step 3: Cross multiply
    806.25x = 1,209.38 × 293.25
  4. Step 4: Simplify right side
    806.25x = 354,649.22
  5. Step 5: Solve for x
    x = 354,649.22/806.25
  6. Step 6: Final answer
    x = 439.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.