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Finding the Fourth Proportional to 595.38, 821.34 and 398.64

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Solution

The fourth proportional to 595.38, 821.34 and 398.64 is: 549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.38 : 821.34 = 398.64 : x
  2. Step 2: Convert to fraction form
    595.38/821.34 = 398.64/x
  3. Step 3: Cross multiply
    595.38x = 821.34 × 398.64
  4. Step 4: Simplify right side
    595.38x = 327,418.98
  5. Step 5: Solve for x
    x = 327,418.98/595.38
  6. Step 6: Final answer
    x = 549.93

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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.