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Finding the Fourth Proportional to 1,780.25, 2,672.03 and 903.37

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Solution

The fourth proportional to 1,780.25, 2,672.03 and 903.37 is: 1,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.25 : 2,672.03 = 903.37 : x
  2. Step 2: Convert to fraction form
    1,780.25/2,672.03 = 903.37/x
  3. Step 3: Cross multiply
    1,780.25x = 2,672.03 × 903.37
  4. Step 4: Simplify right side
    1,780.25x = 2,413,831.74
  5. Step 5: Solve for x
    x = 2,413,831.74/1,780.25
  6. Step 6: Final answer
    x = 1,355.90

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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.