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Finding the Fourth Proportional to 805.06, 1,209.08 and 482.41

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Solution

The fourth proportional to 805.06, 1,209.08 and 482.41 is: 724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.06 : 1,209.08 = 482.41 : x
  2. Step 2: Convert to fraction form
    805.06/1,209.08 = 482.41/x
  3. Step 3: Cross multiply
    805.06x = 1,209.08 × 482.41
  4. Step 4: Simplify right side
    805.06x = 583,272.28
  5. Step 5: Solve for x
    x = 583,272.28/805.06
  6. Step 6: Final answer
    x = 724.51

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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.