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Finding the Fourth Proportional to 807.22, 1,208.91 and 464.50

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Solution

The fourth proportional to 807.22, 1,208.91 and 464.50 is: 695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.22 : 1,208.91 = 464.50 : x
  2. Step 2: Convert to fraction form
    807.22/1,208.91 = 464.50/x
  3. Step 3: Cross multiply
    807.22x = 1,208.91 × 464.50
  4. Step 4: Simplify right side
    807.22x = 561,538.70
  5. Step 5: Solve for x
    x = 561,538.70/807.22
  6. Step 6: Final answer
    x = 695.65

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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.