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Finding the Fourth Proportional to 872.37, 1,310.30 and 521.66

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Solution

The fourth proportional to 872.37, 1,310.30 and 521.66 is: 783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.37 : 1,310.30 = 521.66 : x
  2. Step 2: Convert to fraction form
    872.37/1,310.30 = 521.66/x
  3. Step 3: Cross multiply
    872.37x = 1,310.30 × 521.66
  4. Step 4: Simplify right side
    872.37x = 683,525.62
  5. Step 5: Solve for x
    x = 683,525.62/872.37
  6. Step 6: Final answer
    x = 783.52

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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.