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Finding the Fourth Proportional to 875.12, 1,207.72 and 482.20

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Solution

The fourth proportional to 875.12, 1,207.72 and 482.20 is: 665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.12 : 1,207.72 = 482.20 : x
  2. Step 2: Convert to fraction form
    875.12/1,207.72 = 482.20/x
  3. Step 3: Cross multiply
    875.12x = 1,207.72 × 482.20
  4. Step 4: Simplify right side
    875.12x = 582,362.58
  5. Step 5: Solve for x
    x = 582,362.58/875.12
  6. Step 6: Final answer
    x = 665.47

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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.