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Finding the Fourth Proportional to 868.74, 1,301.88 and 320.37

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Solution

The fourth proportional to 868.74, 1,301.88 and 320.37 is: 480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.74 : 1,301.88 = 320.37 : x
  2. Step 2: Convert to fraction form
    868.74/1,301.88 = 320.37/x
  3. Step 3: Cross multiply
    868.74x = 1,301.88 × 320.37
  4. Step 4: Simplify right side
    868.74x = 417,083.30
  5. Step 5: Solve for x
    x = 417,083.30/868.74
  6. Step 6: Final answer
    x = 480.10

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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.