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Finding the Fourth Proportional to 903.54, 1,353.11 and 815.89

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Solution

The fourth proportional to 903.54, 1,353.11 and 815.89 is: 1,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.54 : 1,353.11 = 815.89 : x
  2. Step 2: Convert to fraction form
    903.54/1,353.11 = 815.89/x
  3. Step 3: Cross multiply
    903.54x = 1,353.11 × 815.89
  4. Step 4: Simplify right side
    903.54x = 1,103,989.70
  5. Step 5: Solve for x
    x = 1,103,989.70/903.54
  6. Step 6: Final answer
    x = 1,221.84

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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.