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Finding the Fourth Proportional to 565.31, 847.28 and 257.09

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Solution

The fourth proportional to 565.31, 847.28 and 257.09 is: 385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.31 : 847.28 = 257.09 : x
  2. Step 2: Convert to fraction form
    565.31/847.28 = 257.09/x
  3. Step 3: Cross multiply
    565.31x = 847.28 × 257.09
  4. Step 4: Simplify right side
    565.31x = 217,823.62
  5. Step 5: Solve for x
    x = 217,823.62/565.31
  6. Step 6: Final answer
    x = 385.32

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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.