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Finding the Fourth Proportional to 662.24, 912.71 and 496.15

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Solution

The fourth proportional to 662.24, 912.71 and 496.15 is: 683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.24 : 912.71 = 496.15 : x
  2. Step 2: Convert to fraction form
    662.24/912.71 = 496.15/x
  3. Step 3: Cross multiply
    662.24x = 912.71 × 496.15
  4. Step 4: Simplify right side
    662.24x = 452,840.03
  5. Step 5: Solve for x
    x = 452,840.03/662.24
  6. Step 6: Final answer
    x = 683.80

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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.