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Finding the Fourth Proportional to 917.73, 1,264.55 and 622.49

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Solution

The fourth proportional to 917.73, 1,264.55 and 622.49 is: 857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.73 : 1,264.55 = 622.49 : x
  2. Step 2: Convert to fraction form
    917.73/1,264.55 = 622.49/x
  3. Step 3: Cross multiply
    917.73x = 1,264.55 × 622.49
  4. Step 4: Simplify right side
    917.73x = 787,160.29
  5. Step 5: Solve for x
    x = 787,160.29/917.73
  6. Step 6: Final answer
    x = 857.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.