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Finding the Fourth Proportional to 558.59, 771.59 and 428.27

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Solution

The fourth proportional to 558.59, 771.59 and 428.27 is: 591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.59 : 771.59 = 428.27 : x
  2. Step 2: Convert to fraction form
    558.59/771.59 = 428.27/x
  3. Step 3: Cross multiply
    558.59x = 771.59 × 428.27
  4. Step 4: Simplify right side
    558.59x = 330,446.71
  5. Step 5: Solve for x
    x = 330,446.71/558.59
  6. Step 6: Final answer
    x = 591.57

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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.