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Finding the Fourth Proportional to 1,000.78, 1,501.17 and 270.35

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Solution

The fourth proportional to 1,000.78, 1,501.17 and 270.35 is: 405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.78 : 1,501.17 = 270.35 : x
  2. Step 2: Convert to fraction form
    1,000.78/1,501.17 = 270.35/x
  3. Step 3: Cross multiply
    1,000.78x = 1,501.17 × 270.35
  4. Step 4: Simplify right side
    1,000.78x = 405,839.96
  5. Step 5: Solve for x
    x = 405,839.96/1,000.78
  6. Step 6: Final answer
    x = 405.53

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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.