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Finding the Fourth Proportional to 1,331.48, 1,997.06 and 357.65

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Solution

The fourth proportional to 1,331.48, 1,997.06 and 357.65 is: 536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.48 : 1,997.06 = 357.65 : x
  2. Step 2: Convert to fraction form
    1,331.48/1,997.06 = 357.65/x
  3. Step 3: Cross multiply
    1,331.48x = 1,997.06 × 357.65
  4. Step 4: Simplify right side
    1,331.48x = 714,246.72
  5. Step 5: Solve for x
    x = 714,246.72/1,331.48
  6. Step 6: Final answer
    x = 536.43

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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.