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Finding the Fourth Proportional to 1,538.48, 2,308.13 and 442.91

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Solution

The fourth proportional to 1,538.48, 2,308.13 and 442.91 is: 664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.48 : 2,308.13 = 442.91 : x
  2. Step 2: Convert to fraction form
    1,538.48/2,308.13 = 442.91/x
  3. Step 3: Cross multiply
    1,538.48x = 2,308.13 × 442.91
  4. Step 4: Simplify right side
    1,538.48x = 1,022,293.86
  5. Step 5: Solve for x
    x = 1,022,293.86/1,538.48
  6. Step 6: Final answer
    x = 664.48

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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.