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Finding the Fourth Proportional to 593.61, 819.06 and 397

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Solution

The fourth proportional to 593.61, 819.06 and 397 is: 547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.61 : 819.06 = 397 : x
  2. Step 2: Convert to fraction form
    593.61/819.06 = 397/x
  3. Step 3: Cross multiply
    593.61x = 819.06 × 397
  4. Step 4: Simplify right side
    593.61x = 325,166.82
  5. Step 5: Solve for x
    x = 325,166.82/593.61
  6. Step 6: Final answer
    x = 547.78

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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.