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Finding the Fourth Proportional to 1,147.99, 1,721.56 and 397.31

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Solution

The fourth proportional to 1,147.99, 1,721.56 and 397.31 is: 595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.99 : 1,721.56 = 397.31 : x
  2. Step 2: Convert to fraction form
    1,147.99/1,721.56 = 397.31/x
  3. Step 3: Cross multiply
    1,147.99x = 1,721.56 × 397.31
  4. Step 4: Simplify right side
    1,147.99x = 683,982.41
  5. Step 5: Solve for x
    x = 683,982.41/1,147.99
  6. Step 6: Final answer
    x = 595.81

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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.