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Finding the Fourth Proportional to 594.88, 821.04 and 398.42

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Solution

The fourth proportional to 594.88, 821.04 and 398.42 is: 549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.88 : 821.04 = 398.42 : x
  2. Step 2: Convert to fraction form
    594.88/821.04 = 398.42/x
  3. Step 3: Cross multiply
    594.88x = 821.04 × 398.42
  4. Step 4: Simplify right side
    594.88x = 327,116.24
  5. Step 5: Solve for x
    x = 327,116.24/594.88
  6. Step 6: Final answer
    x = 549.89

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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.