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Finding the Fourth Proportional to 569.45, 854.35 and 396.05

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Solution

The fourth proportional to 569.45, 854.35 and 396.05 is: 594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.45 : 854.35 = 396.05 : x
  2. Step 2: Convert to fraction form
    569.45/854.35 = 396.05/x
  3. Step 3: Cross multiply
    569.45x = 854.35 × 396.05
  4. Step 4: Simplify right side
    569.45x = 338,360.06
  5. Step 5: Solve for x
    x = 338,360.06/569.45
  6. Step 6: Final answer
    x = 594.18

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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.