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Finding the Fourth Proportional to 558.30, 770.76 and 427.56

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Solution

The fourth proportional to 558.30, 770.76 and 427.56 is: 590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.30 : 770.76 = 427.56 : x
  2. Step 2: Convert to fraction form
    558.30/770.76 = 427.56/x
  3. Step 3: Cross multiply
    558.30x = 770.76 × 427.56
  4. Step 4: Simplify right side
    558.30x = 329,546.15
  5. Step 5: Solve for x
    x = 329,546.15/558.30
  6. Step 6: Final answer
    x = 590.27

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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.