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Finding the Fourth Proportional to 867.15, 1,299.89 and 319.19

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Solution

The fourth proportional to 867.15, 1,299.89 and 319.19 is: 478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.15 : 1,299.89 = 319.19 : x
  2. Step 2: Convert to fraction form
    867.15/1,299.89 = 319.19/x
  3. Step 3: Cross multiply
    867.15x = 1,299.89 × 319.19
  4. Step 4: Simplify right side
    867.15x = 414,903.79
  5. Step 5: Solve for x
    x = 414,903.79/867.15
  6. Step 6: Final answer
    x = 478.47

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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.