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Finding the Fourth Proportional to 728.54, 1,005.90 and 448.86

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Solution

The fourth proportional to 728.54, 1,005.90 and 448.86 is: 619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.54 : 1,005.90 = 448.86 : x
  2. Step 2: Convert to fraction form
    728.54/1,005.90 = 448.86/x
  3. Step 3: Cross multiply
    728.54x = 1,005.90 × 448.86
  4. Step 4: Simplify right side
    728.54x = 451,508.27
  5. Step 5: Solve for x
    x = 451,508.27/728.54
  6. Step 6: Final answer
    x = 619.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.