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Finding the Fourth Proportional to 872.20, 1,307.07 and 482.38

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Solution

The fourth proportional to 872.20, 1,307.07 and 482.38 is: 722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.20 : 1,307.07 = 482.38 : x
  2. Step 2: Convert to fraction form
    872.20/1,307.07 = 482.38/x
  3. Step 3: Cross multiply
    872.20x = 1,307.07 × 482.38
  4. Step 4: Simplify right side
    872.20x = 630,504.43
  5. Step 5: Solve for x
    x = 630,504.43/872.20
  6. Step 6: Final answer
    x = 722.89

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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.