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Finding the Fourth Proportional to 570.15, 854.43 and 396.57

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Solution

The fourth proportional to 570.15, 854.43 and 396.57 is: 594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.15 : 854.43 = 396.57 : x
  2. Step 2: Convert to fraction form
    570.15/854.43 = 396.57/x
  3. Step 3: Cross multiply
    570.15x = 854.43 × 396.57
  4. Step 4: Simplify right side
    570.15x = 338,841.31
  5. Step 5: Solve for x
    x = 338,841.31/570.15
  6. Step 6: Final answer
    x = 594.30

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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.