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Finding the Fourth Proportional to 868.01, 1,301.97 and 521.44

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Solution

The fourth proportional to 868.01, 1,301.97 and 521.44 is: 782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.01 : 1,301.97 = 521.44 : x
  2. Step 2: Convert to fraction form
    868.01/1,301.97 = 521.44/x
  3. Step 3: Cross multiply
    868.01x = 1,301.97 × 521.44
  4. Step 4: Simplify right side
    868.01x = 678,899.24
  5. Step 5: Solve for x
    x = 678,899.24/868.01
  6. Step 6: Final answer
    x = 782.14

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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.