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Finding the Fourth Proportional to 593.85, 818.41 and 427.78

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Solution

The fourth proportional to 593.85, 818.41 and 427.78 is: 589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.85 : 818.41 = 427.78 : x
  2. Step 2: Convert to fraction form
    593.85/818.41 = 427.78/x
  3. Step 3: Cross multiply
    593.85x = 818.41 × 427.78
  4. Step 4: Simplify right side
    593.85x = 350,093.20
  5. Step 5: Solve for x
    x = 350,093.20/593.85
  6. Step 6: Final answer
    x = 589.53

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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.