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Finding the Fourth Proportional to 558.32, 771 and 428.18

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Solution

The fourth proportional to 558.32, 771 and 428.18 is: 591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.32 : 771 = 428.18 : x
  2. Step 2: Convert to fraction form
    558.32/771 = 428.18/x
  3. Step 3: Cross multiply
    558.32x = 771 × 428.18
  4. Step 4: Simplify right side
    558.32x = 330,126.78
  5. Step 5: Solve for x
    x = 330,126.78/558.32
  6. Step 6: Final answer
    x = 591.29

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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.