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Finding the Fourth Proportional to 597.23, 824.45 and 398.39

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Solution

The fourth proportional to 597.23, 824.45 and 398.39 is: 549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.23 : 824.45 = 398.39 : x
  2. Step 2: Convert to fraction form
    597.23/824.45 = 398.39/x
  3. Step 3: Cross multiply
    597.23x = 824.45 × 398.39
  4. Step 4: Simplify right side
    597.23x = 328,450.57
  5. Step 5: Solve for x
    x = 328,450.57/597.23
  6. Step 6: Final answer
    x = 549.96

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1.5x scale

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.