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Finding the Fourth Proportional to 1,000.87, 1,501.31 and 270.43

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Solution

The fourth proportional to 1,000.87, 1,501.31 and 270.43 is: 405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.87 : 1,501.31 = 270.43 : x
  2. Step 2: Convert to fraction form
    1,000.87/1,501.31 = 270.43/x
  3. Step 3: Cross multiply
    1,000.87x = 1,501.31 × 270.43
  4. Step 4: Simplify right side
    1,000.87x = 405,996.19
  5. Step 5: Solve for x
    x = 405,996.19/1,000.87
  6. Step 6: Final answer
    x = 405.64

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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.