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Finding the Fourth Proportional to 867, 1,300.71 and 289.89

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Solution

The fourth proportional to 867, 1,300.71 and 289.89 is: 434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    867 : 1,300.71 = 289.89 : x
  2. Step 2: Convert to fraction form
    867/1,300.71 = 289.89/x
  3. Step 3: Cross multiply
    867x = 1,300.71 × 289.89
  4. Step 4: Simplify right side
    867x = 377,062.82
  5. Step 5: Solve for x
    x = 377,062.82/867
  6. Step 6: Final answer
    x = 434.91

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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.