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Finding the Fourth Proportional to 640.66, 962.30 and 494.70

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Solution

The fourth proportional to 640.66, 962.30 and 494.70 is: 743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.66 : 962.30 = 494.70 : x
  2. Step 2: Convert to fraction form
    640.66/962.30 = 494.70/x
  3. Step 3: Cross multiply
    640.66x = 962.30 × 494.70
  4. Step 4: Simplify right side
    640.66x = 476,049.81
  5. Step 5: Solve for x
    x = 476,049.81/640.66
  6. Step 6: Final answer
    x = 743.06

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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.