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Finding the Fourth Proportional to 662.29, 911.85 and 583.54

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Solution

The fourth proportional to 662.29, 911.85 and 583.54 is: 803.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.29 : 911.85 = 583.54 : x
  2. Step 2: Convert to fraction form
    662.29/911.85 = 583.54/x
  3. Step 3: Cross multiply
    662.29x = 911.85 × 583.54
  4. Step 4: Simplify right side
    662.29x = 532,100.95
  5. Step 5: Solve for x
    x = 532,100.95/662.29
  6. Step 6: Final answer
    x = 803.43

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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.