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Finding the Fourth Proportional to 595.22, 823.37 and 496.80

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Solution

The fourth proportional to 595.22, 823.37 and 496.80 is: 687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.22 : 823.37 = 496.80 : x
  2. Step 2: Convert to fraction form
    595.22/823.37 = 496.80/x
  3. Step 3: Cross multiply
    595.22x = 823.37 × 496.80
  4. Step 4: Simplify right side
    595.22x = 409,047.73
  5. Step 5: Solve for x
    x = 409,047.73/595.22
  6. Step 6: Final answer
    x = 687.23

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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.