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Finding the Fourth Proportional to 1,027.50, 1,540.96 and 334.02

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Solution

The fourth proportional to 1,027.50, 1,540.96 and 334.02 is: 500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.50 : 1,540.96 = 334.02 : x
  2. Step 2: Convert to fraction form
    1,027.50/1,540.96 = 334.02/x
  3. Step 3: Cross multiply
    1,027.50x = 1,540.96 × 334.02
  4. Step 4: Simplify right side
    1,027.50x = 514,711.46
  5. Step 5: Solve for x
    x = 514,711.46/1,027.50
  6. Step 6: Final answer
    x = 500.94

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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.