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Finding the Fourth Proportional to 569.68, 789.46 and 558.74

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Solution

The fourth proportional to 569.68, 789.46 and 558.74 is: 774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.68 : 789.46 = 558.74 : x
  2. Step 2: Convert to fraction form
    569.68/789.46 = 558.74/x
  3. Step 3: Cross multiply
    569.68x = 789.46 × 558.74
  4. Step 4: Simplify right side
    569.68x = 441,100.09
  5. Step 5: Solve for x
    x = 441,100.09/569.68
  6. Step 6: Final answer
    x = 774.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.