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Finding the Fourth Proportional to 886.21, 1,330 and 614.20

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Solution

The fourth proportional to 886.21, 1,330 and 614.20 is: 921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.21 : 1,330 = 614.20 : x
  2. Step 2: Convert to fraction form
    886.21/1,330 = 614.20/x
  3. Step 3: Cross multiply
    886.21x = 1,330 × 614.20
  4. Step 4: Simplify right side
    886.21x = 816,886.00
  5. Step 5: Solve for x
    x = 816,886.00/886.21
  6. Step 6: Final answer
    x = 921.77

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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.