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Finding the Fourth Proportional to 591.24, 815.92 and 395.24

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Solution

The fourth proportional to 591.24, 815.92 and 395.24 is: 545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.24 : 815.92 = 395.24 : x
  2. Step 2: Convert to fraction form
    591.24/815.92 = 395.24/x
  3. Step 3: Cross multiply
    591.24x = 815.92 × 395.24
  4. Step 4: Simplify right side
    591.24x = 322,484.22
  5. Step 5: Solve for x
    x = 322,484.22/591.24
  6. Step 6: Final answer
    x = 545.44

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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.