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Finding the Fourth Proportional to 917.43, 1,377.15 and 857.94

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Solution

The fourth proportional to 917.43, 1,377.15 and 857.94 is: 1,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.43 : 1,377.15 = 857.94 : x
  2. Step 2: Convert to fraction form
    917.43/1,377.15 = 857.94/x
  3. Step 3: Cross multiply
    917.43x = 1,377.15 × 857.94
  4. Step 4: Simplify right side
    917.43x = 1,181,512.07
  5. Step 5: Solve for x
    x = 1,181,512.07/917.43
  6. Step 6: Final answer
    x = 1,287.85

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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.