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Finding the Fourth Proportional to 570.44, 854.52 and 338.64

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Solution

The fourth proportional to 570.44, 854.52 and 338.64 is: 507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.44 : 854.52 = 338.64 : x
  2. Step 2: Convert to fraction form
    570.44/854.52 = 338.64/x
  3. Step 3: Cross multiply
    570.44x = 854.52 × 338.64
  4. Step 4: Simplify right side
    570.44x = 289,374.65
  5. Step 5: Solve for x
    x = 289,374.65/570.44
  6. Step 6: Final answer
    x = 507.29

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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.