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Finding the Fourth Proportional to 597.77, 824.85 and 349.15

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Solution

The fourth proportional to 597.77, 824.85 and 349.15 is: 481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.77 : 824.85 = 349.15 : x
  2. Step 2: Convert to fraction form
    597.77/824.85 = 349.15/x
  3. Step 3: Cross multiply
    597.77x = 824.85 × 349.15
  4. Step 4: Simplify right side
    597.77x = 287,996.38
  5. Step 5: Solve for x
    x = 287,996.38/597.77
  6. Step 6: Final answer
    x = 481.78

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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.