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Finding the Fourth Proportional to 903.78, 1,353.08 and 817.28

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Solution

The fourth proportional to 903.78, 1,353.08 and 817.28 is: 1,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.78 : 1,353.08 = 817.28 : x
  2. Step 2: Convert to fraction form
    903.78/1,353.08 = 817.28/x
  3. Step 3: Cross multiply
    903.78x = 1,353.08 × 817.28
  4. Step 4: Simplify right side
    903.78x = 1,105,845.22
  5. Step 5: Solve for x
    x = 1,105,845.22/903.78
  6. Step 6: Final answer
    x = 1,223.58

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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.