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Finding the Fourth Proportional to 1,308.38, 1,962.47 and 917.24

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Solution

The fourth proportional to 1,308.38, 1,962.47 and 917.24 is: 1,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.38 : 1,962.47 = 917.24 : x
  2. Step 2: Convert to fraction form
    1,308.38/1,962.47 = 917.24/x
  3. Step 3: Cross multiply
    1,308.38x = 1,962.47 × 917.24
  4. Step 4: Simplify right side
    1,308.38x = 1,800,041.58
  5. Step 5: Solve for x
    x = 1,800,041.58/1,308.38
  6. Step 6: Final answer
    x = 1,375.78

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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.