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Finding the Fourth Proportional to 867.11, 1,299.60 and 319.01

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Solution

The fourth proportional to 867.11, 1,299.60 and 319.01 is: 478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.11 : 1,299.60 = 319.01 : x
  2. Step 2: Convert to fraction form
    867.11/1,299.60 = 319.01/x
  3. Step 3: Cross multiply
    867.11x = 1,299.60 × 319.01
  4. Step 4: Simplify right side
    867.11x = 414,578.90
  5. Step 5: Solve for x
    x = 414,578.90/867.11
  6. Step 6: Final answer
    x = 478.12

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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.