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Finding the Fourth Proportional to 595.25, 892.99 and 287.31

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Solution

The fourth proportional to 595.25, 892.99 and 287.31 is: 431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.25 : 892.99 = 287.31 : x
  2. Step 2: Convert to fraction form
    595.25/892.99 = 287.31/x
  3. Step 3: Cross multiply
    595.25x = 892.99 × 287.31
  4. Step 4: Simplify right side
    595.25x = 256,568.66
  5. Step 5: Solve for x
    x = 256,568.66/595.25
  6. Step 6: Final answer
    x = 431.03

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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.