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Finding the Fourth Proportional to 1,208.41, 1,809.08 and 917.06

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Solution

The fourth proportional to 1,208.41, 1,809.08 and 917.06 is: 1,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.41 : 1,809.08 = 917.06 : x
  2. Step 2: Convert to fraction form
    1,208.41/1,809.08 = 917.06/x
  3. Step 3: Cross multiply
    1,208.41x = 1,809.08 × 917.06
  4. Step 4: Simplify right side
    1,208.41x = 1,659,025.86
  5. Step 5: Solve for x
    x = 1,659,025.86/1,208.41
  6. Step 6: Final answer
    x = 1,372.90

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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.