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Finding the Fourth Proportional to 640.01, 961.89 and 435.89

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Solution

The fourth proportional to 640.01, 961.89 and 435.89 is: 655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.01 : 961.89 = 435.89 : x
  2. Step 2: Convert to fraction form
    640.01/961.89 = 435.89/x
  3. Step 3: Cross multiply
    640.01x = 961.89 × 435.89
  4. Step 4: Simplify right side
    640.01x = 419,278.23
  5. Step 5: Solve for x
    x = 419,278.23/640.01
  6. Step 6: Final answer
    x = 655.11

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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.