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Finding the Fourth Proportional to 875.26, 1,310.67 and 782.38

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Solution

The fourth proportional to 875.26, 1,310.67 and 782.38 is: 1,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.26 : 1,310.67 = 782.38 : x
  2. Step 2: Convert to fraction form
    875.26/1,310.67 = 782.38/x
  3. Step 3: Cross multiply
    875.26x = 1,310.67 × 782.38
  4. Step 4: Simplify right side
    875.26x = 1,025,441.99
  5. Step 5: Solve for x
    x = 1,025,441.99/875.26
  6. Step 6: Final answer
    x = 1,171.59

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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.