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Finding the Fourth Proportional to 901.64, 1,351.94 and 353.46

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Solution

The fourth proportional to 901.64, 1,351.94 and 353.46 is: 529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.64 : 1,351.94 = 353.46 : x
  2. Step 2: Convert to fraction form
    901.64/1,351.94 = 353.46/x
  3. Step 3: Cross multiply
    901.64x = 1,351.94 × 353.46
  4. Step 4: Simplify right side
    901.64x = 477,854.95
  5. Step 5: Solve for x
    x = 477,854.95/901.64
  6. Step 6: Final answer
    x = 529.99

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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.