Home / 596.32-823.24-386.80

Finding the Fourth Proportional to 596.32, 823.24 and 386.80

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Solution

The fourth proportional to 596.32, 823.24 and 386.80 is: 533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.32 : 823.24 = 386.80 : x
  2. Step 2: Convert to fraction form
    596.32/823.24 = 386.80/x
  3. Step 3: Cross multiply
    596.32x = 823.24 × 386.80
  4. Step 4: Simplify right side
    596.32x = 318,429.23
  5. Step 5: Solve for x
    x = 318,429.23/596.32
  6. Step 6: Final answer
    x = 533.99

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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.