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Finding the Fourth Proportional to 1,398.30, 2,096.91 and 576.42

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Solution

The fourth proportional to 1,398.30, 2,096.91 and 576.42 is: 864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.30 : 2,096.91 = 576.42 : x
  2. Step 2: Convert to fraction form
    1,398.30/2,096.91 = 576.42/x
  3. Step 3: Cross multiply
    1,398.30x = 2,096.91 × 576.42
  4. Step 4: Simplify right side
    1,398.30x = 1,208,700.86
  5. Step 5: Solve for x
    x = 1,208,700.86/1,398.30
  6. Step 6: Final answer
    x = 864.41

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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.