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Finding the Fourth Proportional to 595.30, 821.79 and 398.94

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Solution

The fourth proportional to 595.30, 821.79 and 398.94 is: 550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.30 : 821.79 = 398.94 : x
  2. Step 2: Convert to fraction form
    595.30/821.79 = 398.94/x
  3. Step 3: Cross multiply
    595.30x = 821.79 × 398.94
  4. Step 4: Simplify right side
    595.30x = 327,844.90
  5. Step 5: Solve for x
    x = 327,844.90/595.30
  6. Step 6: Final answer
    x = 550.72

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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.