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Finding the Fourth Proportional to 640.50, 960.36 and 457.44

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Solution

The fourth proportional to 640.50, 960.36 and 457.44 is: 685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.50 : 960.36 = 457.44 : x
  2. Step 2: Convert to fraction form
    640.50/960.36 = 457.44/x
  3. Step 3: Cross multiply
    640.50x = 960.36 × 457.44
  4. Step 4: Simplify right side
    640.50x = 439,307.08
  5. Step 5: Solve for x
    x = 439,307.08/640.50
  6. Step 6: Final answer
    x = 685.88

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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.