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Finding the Fourth Proportional to 589.93, 814.11 and 353.91

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Solution

The fourth proportional to 589.93, 814.11 and 353.91 is: 488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.93 : 814.11 = 353.91 : x
  2. Step 2: Convert to fraction form
    589.93/814.11 = 353.91/x
  3. Step 3: Cross multiply
    589.93x = 814.11 × 353.91
  4. Step 4: Simplify right side
    589.93x = 288,121.67
  5. Step 5: Solve for x
    x = 288,121.67/589.93
  6. Step 6: Final answer
    x = 488.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.