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Finding the Fourth Proportional to 659.39, 908.10 and 645.03

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Solution

The fourth proportional to 659.39, 908.10 and 645.03 is: 888.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.39 : 908.10 = 645.03 : x
  2. Step 2: Convert to fraction form
    659.39/908.10 = 645.03/x
  3. Step 3: Cross multiply
    659.39x = 908.10 × 645.03
  4. Step 4: Simplify right side
    659.39x = 585,748.52
  5. Step 5: Solve for x
    x = 585,748.52/659.39
  6. Step 6: Final answer
    x = 888.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.