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Finding the Fourth Proportional to 590.96, 886.91 and 347.69

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Solution

The fourth proportional to 590.96, 886.91 and 347.69 is: 521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.96 : 886.91 = 347.69 : x
  2. Step 2: Convert to fraction form
    590.96/886.91 = 347.69/x
  3. Step 3: Cross multiply
    590.96x = 886.91 × 347.69
  4. Step 4: Simplify right side
    590.96x = 308,363.56
  5. Step 5: Solve for x
    x = 308,363.56/590.96
  6. Step 6: Final answer
    x = 521.81

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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.