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Finding the Fourth Proportional to 1,129.48, 1,693.11 and 513.34

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Solution

The fourth proportional to 1,129.48, 1,693.11 and 513.34 is: 769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.48 : 1,693.11 = 513.34 : x
  2. Step 2: Convert to fraction form
    1,129.48/1,693.11 = 513.34/x
  3. Step 3: Cross multiply
    1,129.48x = 1,693.11 × 513.34
  4. Step 4: Simplify right side
    1,129.48x = 869,141.09
  5. Step 5: Solve for x
    x = 869,141.09/1,129.48
  6. Step 6: Final answer
    x = 769.51

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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.