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Finding the Fourth Proportional to 640.48, 962.09 and 459.04

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Solution

The fourth proportional to 640.48, 962.09 and 459.04 is: 689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.48 : 962.09 = 459.04 : x
  2. Step 2: Convert to fraction form
    640.48/962.09 = 459.04/x
  3. Step 3: Cross multiply
    640.48x = 962.09 × 459.04
  4. Step 4: Simplify right side
    640.48x = 441,637.79
  5. Step 5: Solve for x
    x = 441,637.79/640.48
  6. Step 6: Final answer
    x = 689.54

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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.