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Finding the Fourth Proportional to 596.68, 823.80 and 431.44

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Solution

The fourth proportional to 596.68, 823.80 and 431.44 is: 595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.68 : 823.80 = 431.44 : x
  2. Step 2: Convert to fraction form
    596.68/823.80 = 431.44/x
  3. Step 3: Cross multiply
    596.68x = 823.80 × 431.44
  4. Step 4: Simplify right side
    596.68x = 355,420.27
  5. Step 5: Solve for x
    x = 355,420.27/596.68
  6. Step 6: Final answer
    x = 595.66

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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.