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Finding the Fourth Proportional to 596.46, 822.12 and 478.23

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Solution

The fourth proportional to 596.46, 822.12 and 478.23 is: 659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.46 : 822.12 = 478.23 : x
  2. Step 2: Convert to fraction form
    596.46/822.12 = 478.23/x
  3. Step 3: Cross multiply
    596.46x = 822.12 × 478.23
  4. Step 4: Simplify right side
    596.46x = 393,163.92
  5. Step 5: Solve for x
    x = 393,163.92/596.46
  6. Step 6: Final answer
    x = 659.16

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1.5x scale

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.