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Finding the Fourth Proportional to 875.67, 1,313.22 and 259.23

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Solution

The fourth proportional to 875.67, 1,313.22 and 259.23 is: 388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.67 : 1,313.22 = 259.23 : x
  2. Step 2: Convert to fraction form
    875.67/1,313.22 = 259.23/x
  3. Step 3: Cross multiply
    875.67x = 1,313.22 × 259.23
  4. Step 4: Simplify right side
    875.67x = 340,426.02
  5. Step 5: Solve for x
    x = 340,426.02/875.67
  6. Step 6: Final answer
    x = 388.76

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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.