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Finding the Fourth Proportional to 640.46, 958.25 and 424.46

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Solution

The fourth proportional to 640.46, 958.25 and 424.46 is: 635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.46 : 958.25 = 424.46 : x
  2. Step 2: Convert to fraction form
    640.46/958.25 = 424.46/x
  3. Step 3: Cross multiply
    640.46x = 958.25 × 424.46
  4. Step 4: Simplify right side
    640.46x = 406,742.25
  5. Step 5: Solve for x
    x = 406,742.25/640.46
  6. Step 6: Final answer
    x = 635.08

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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.