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Finding the Fourth Proportional to 872.26, 1,307.76 and 525.85

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Solution

The fourth proportional to 872.26, 1,307.76 and 525.85 is: 788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.26 : 1,307.76 = 525.85 : x
  2. Step 2: Convert to fraction form
    872.26/1,307.76 = 525.85/x
  3. Step 3: Cross multiply
    872.26x = 1,307.76 × 525.85
  4. Step 4: Simplify right side
    872.26x = 687,685.60
  5. Step 5: Solve for x
    x = 687,685.60/872.26
  6. Step 6: Final answer
    x = 788.40

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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.