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Finding the Fourth Proportional to 591.36, 886.77 and 347.97

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Solution

The fourth proportional to 591.36, 886.77 and 347.97 is: 521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.36 : 886.77 = 347.97 : x
  2. Step 2: Convert to fraction form
    591.36/886.77 = 347.97/x
  3. Step 3: Cross multiply
    591.36x = 886.77 × 347.97
  4. Step 4: Simplify right side
    591.36x = 308,569.36
  5. Step 5: Solve for x
    x = 308,569.36/591.36
  6. Step 6: Final answer
    x = 521.80

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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.