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Finding the Fourth Proportional to 903.78, 1,248.48 and 728.82

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Solution

The fourth proportional to 903.78, 1,248.48 and 728.82 is: 1,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.78 : 1,248.48 = 728.82 : x
  2. Step 2: Convert to fraction form
    903.78/1,248.48 = 728.82/x
  3. Step 3: Cross multiply
    903.78x = 1,248.48 × 728.82
  4. Step 4: Simplify right side
    903.78x = 909,917.19
  5. Step 5: Solve for x
    x = 909,917.19/903.78
  6. Step 6: Final answer
    x = 1,006.79

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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.