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Finding the Fourth Proportional to 569.42, 854.36 and 326.08

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Solution

The fourth proportional to 569.42, 854.36 and 326.08 is: 489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.42 : 854.36 = 326.08 : x
  2. Step 2: Convert to fraction form
    569.42/854.36 = 326.08/x
  3. Step 3: Cross multiply
    569.42x = 854.36 × 326.08
  4. Step 4: Simplify right side
    569.42x = 278,589.71
  5. Step 5: Solve for x
    x = 278,589.71/569.42
  6. Step 6: Final answer
    x = 489.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.