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Finding the Fourth Proportional to 559.60, 770.99 and 393.55

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Solution

The fourth proportional to 559.60, 770.99 and 393.55 is: 542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.60 : 770.99 = 393.55 : x
  2. Step 2: Convert to fraction form
    559.60/770.99 = 393.55/x
  3. Step 3: Cross multiply
    559.60x = 770.99 × 393.55
  4. Step 4: Simplify right side
    559.60x = 303,419.22
  5. Step 5: Solve for x
    x = 303,419.22/559.60
  6. Step 6: Final answer
    x = 542.21

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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.