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Finding the Fourth Proportional to 872.26, 1,307.17 and 482.45

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Solution

The fourth proportional to 872.26, 1,307.17 and 482.45 is: 723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.26 : 1,307.17 = 482.45 : x
  2. Step 2: Convert to fraction form
    872.26/1,307.17 = 482.45/x
  3. Step 3: Cross multiply
    872.26x = 1,307.17 × 482.45
  4. Step 4: Simplify right side
    872.26x = 630,644.17
  5. Step 5: Solve for x
    x = 630,644.17/872.26
  6. Step 6: Final answer
    x = 723.00

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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.