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Finding the Fourth Proportional to 903.68, 1,353.92 and 629.24

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Solution

The fourth proportional to 903.68, 1,353.92 and 629.24 is: 942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.68 : 1,353.92 = 629.24 : x
  2. Step 2: Convert to fraction form
    903.68/1,353.92 = 629.24/x
  3. Step 3: Cross multiply
    903.68x = 1,353.92 × 629.24
  4. Step 4: Simplify right side
    903.68x = 851,930.71
  5. Step 5: Solve for x
    x = 851,930.71/903.68
  6. Step 6: Final answer
    x = 942.74

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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.