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Finding the Fourth Proportional to 593.99, 820.02 and 397.83

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Solution

The fourth proportional to 593.99, 820.02 and 397.83 is: 549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.99 : 820.02 = 397.83 : x
  2. Step 2: Convert to fraction form
    593.99/820.02 = 397.83/x
  3. Step 3: Cross multiply
    593.99x = 820.02 × 397.83
  4. Step 4: Simplify right side
    593.99x = 326,228.56
  5. Step 5: Solve for x
    x = 326,228.56/593.99
  6. Step 6: Final answer
    x = 549.22

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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.