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Finding the Fourth Proportional to 875.50, 1,313.25 and 267.50

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Solution

The fourth proportional to 875.50, 1,313.25 and 267.50 is: 401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.50 : 1,313.25 = 267.50 : x
  2. Step 2: Convert to fraction form
    875.50/1,313.25 = 267.50/x
  3. Step 3: Cross multiply
    875.50x = 1,313.25 × 267.50
  4. Step 4: Simplify right side
    875.50x = 351,294.38
  5. Step 5: Solve for x
    x = 351,294.38/875.50
  6. Step 6: Final answer
    x = 401.25

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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.