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Finding the Fourth Proportional to 595.46, 822.21 and 409.34

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Solution

The fourth proportional to 595.46, 822.21 and 409.34 is: 565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.46 : 822.21 = 409.34 : x
  2. Step 2: Convert to fraction form
    595.46/822.21 = 409.34/x
  3. Step 3: Cross multiply
    595.46x = 822.21 × 409.34
  4. Step 4: Simplify right side
    595.46x = 336,563.44
  5. Step 5: Solve for x
    x = 336,563.44/595.46
  6. Step 6: Final answer
    x = 565.22

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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.