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Finding the Fourth Proportional to 558.07, 769.66 and 418.52

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Solution

The fourth proportional to 558.07, 769.66 and 418.52 is: 577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.07 : 769.66 = 418.52 : x
  2. Step 2: Convert to fraction form
    558.07/769.66 = 418.52/x
  3. Step 3: Cross multiply
    558.07x = 769.66 × 418.52
  4. Step 4: Simplify right side
    558.07x = 322,118.10
  5. Step 5: Solve for x
    x = 322,118.10/558.07
  6. Step 6: Final answer
    x = 577.20

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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.