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Finding the Fourth Proportional to 558.91, 771.52 and 419.43

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Solution

The fourth proportional to 558.91, 771.52 and 419.43 is: 578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.91 : 771.52 = 419.43 : x
  2. Step 2: Convert to fraction form
    558.91/771.52 = 419.43/x
  3. Step 3: Cross multiply
    558.91x = 771.52 × 419.43
  4. Step 4: Simplify right side
    558.91x = 323,601.64
  5. Step 5: Solve for x
    x = 323,601.64/558.91
  6. Step 6: Final answer
    x = 578.98

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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.