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Finding the Fourth Proportional to 1,310.75, 1,967.03 and 541.25

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Solution

The fourth proportional to 1,310.75, 1,967.03 and 541.25 is: 812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.75 : 1,967.03 = 541.25 : x
  2. Step 2: Convert to fraction form
    1,310.75/1,967.03 = 541.25/x
  3. Step 3: Cross multiply
    1,310.75x = 1,967.03 × 541.25
  4. Step 4: Simplify right side
    1,310.75x = 1,064,654.99
  5. Step 5: Solve for x
    x = 1,064,654.99/1,310.75
  6. Step 6: Final answer
    x = 812.25

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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.