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Finding the Fourth Proportional to 574.68, 789.62 and 469.51

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Solution

The fourth proportional to 574.68, 789.62 and 469.51 is: 645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.68 : 789.62 = 469.51 : x
  2. Step 2: Convert to fraction form
    574.68/789.62 = 469.51/x
  3. Step 3: Cross multiply
    574.68x = 789.62 × 469.51
  4. Step 4: Simplify right side
    574.68x = 370,734.49
  5. Step 5: Solve for x
    x = 370,734.49/574.68
  6. Step 6: Final answer
    x = 645.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.