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Finding the Fourth Proportional to 905.01, 1,353.87 and 615.84

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Solution

The fourth proportional to 905.01, 1,353.87 and 615.84 is: 921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.01 : 1,353.87 = 615.84 : x
  2. Step 2: Convert to fraction form
    905.01/1,353.87 = 615.84/x
  3. Step 3: Cross multiply
    905.01x = 1,353.87 × 615.84
  4. Step 4: Simplify right side
    905.01x = 833,767.30
  5. Step 5: Solve for x
    x = 833,767.30/905.01
  6. Step 6: Final answer
    x = 921.28

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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.