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Finding the Fourth Proportional to 596.50, 821.37 and 471.76

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Solution

The fourth proportional to 596.50, 821.37 and 471.76 is: 649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.50 : 821.37 = 471.76 : x
  2. Step 2: Convert to fraction form
    596.50/821.37 = 471.76/x
  3. Step 3: Cross multiply
    596.50x = 821.37 × 471.76
  4. Step 4: Simplify right side
    596.50x = 387,489.23
  5. Step 5: Solve for x
    x = 387,489.23/596.50
  6. Step 6: Final answer
    x = 649.61

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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.