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Finding the Fourth Proportional to 903.69, 1,355.90 and 416.97

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Solution

The fourth proportional to 903.69, 1,355.90 and 416.97 is: 625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.69 : 1,355.90 = 416.97 : x
  2. Step 2: Convert to fraction form
    903.69/1,355.90 = 416.97/x
  3. Step 3: Cross multiply
    903.69x = 1,355.90 × 416.97
  4. Step 4: Simplify right side
    903.69x = 565,367.54
  5. Step 5: Solve for x
    x = 565,367.54/903.69
  6. Step 6: Final answer
    x = 625.62

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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.