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Finding the Fourth Proportional to 593.39, 820.35 and 445.77

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Solution

The fourth proportional to 593.39, 820.35 and 445.77 is: 616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.39 : 820.35 = 445.77 : x
  2. Step 2: Convert to fraction form
    593.39/820.35 = 445.77/x
  3. Step 3: Cross multiply
    593.39x = 820.35 × 445.77
  4. Step 4: Simplify right side
    593.39x = 365,687.42
  5. Step 5: Solve for x
    x = 365,687.42/593.39
  6. Step 6: Final answer
    x = 616.27

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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.