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Finding the Fourth Proportional to 875.71, 1,313.26 and 259.25

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Solution

The fourth proportional to 875.71, 1,313.26 and 259.25 is: 388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.71 : 1,313.26 = 259.25 : x
  2. Step 2: Convert to fraction form
    875.71/1,313.26 = 259.25/x
  3. Step 3: Cross multiply
    875.71x = 1,313.26 × 259.25
  4. Step 4: Simplify right side
    875.71x = 340,462.66
  5. Step 5: Solve for x
    x = 340,462.66/875.71
  6. Step 6: Final answer
    x = 388.78

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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.