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Finding the Fourth Proportional to 594.35, 820.14 and 398.24

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Solution

The fourth proportional to 594.35, 820.14 and 398.24 is: 549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.35 : 820.14 = 398.24 : x
  2. Step 2: Convert to fraction form
    594.35/820.14 = 398.24/x
  3. Step 3: Cross multiply
    594.35x = 820.14 × 398.24
  4. Step 4: Simplify right side
    594.35x = 326,612.55
  5. Step 5: Solve for x
    x = 326,612.55/594.35
  6. Step 6: Final answer
    x = 549.53

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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.