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Finding the Fourth Proportional to 594.19, 819.98 and 398.17

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Solution

The fourth proportional to 594.19, 819.98 and 398.17 is: 549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.19 : 819.98 = 398.17 : x
  2. Step 2: Convert to fraction form
    594.19/819.98 = 398.17/x
  3. Step 3: Cross multiply
    594.19x = 819.98 × 398.17
  4. Step 4: Simplify right side
    594.19x = 326,491.44
  5. Step 5: Solve for x
    x = 326,491.44/594.19
  6. Step 6: Final answer
    x = 549.47

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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.