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Finding the Fourth Proportional to 591.86, 816.99 and 395.30

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Solution

The fourth proportional to 591.86, 816.99 and 395.30 is: 545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.86 : 816.99 = 395.30 : x
  2. Step 2: Convert to fraction form
    591.86/816.99 = 395.30/x
  3. Step 3: Cross multiply
    591.86x = 816.99 × 395.30
  4. Step 4: Simplify right side
    591.86x = 322,952.06
  5. Step 5: Solve for x
    x = 322,952.06/591.86
  6. Step 6: Final answer
    x = 545.66

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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.