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Finding the Fourth Proportional to 872.88, 1,307.79 and 461.11

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Solution

The fourth proportional to 872.88, 1,307.79 and 461.11 is: 690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.88 : 1,307.79 = 461.11 : x
  2. Step 2: Convert to fraction form
    872.88/1,307.79 = 461.11/x
  3. Step 3: Cross multiply
    872.88x = 1,307.79 × 461.11
  4. Step 4: Simplify right side
    872.88x = 603,032.74
  5. Step 5: Solve for x
    x = 603,032.74/872.88
  6. Step 6: Final answer
    x = 690.85

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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.