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Finding the Fourth Proportional to 558.48, 771.48 and 404.04

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Solution

The fourth proportional to 558.48, 771.48 and 404.04 is: 558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.48 : 771.48 = 404.04 : x
  2. Step 2: Convert to fraction form
    558.48/771.48 = 404.04/x
  3. Step 3: Cross multiply
    558.48x = 771.48 × 404.04
  4. Step 4: Simplify right side
    558.48x = 311,708.78
  5. Step 5: Solve for x
    x = 311,708.78/558.48
  6. Step 6: Final answer
    x = 558.14

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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.