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Finding the Fourth Proportional to 659.34, 908.55 and 484.38

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Solution

The fourth proportional to 659.34, 908.55 and 484.38 is: 667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.34 : 908.55 = 484.38 : x
  2. Step 2: Convert to fraction form
    659.34/908.55 = 484.38/x
  3. Step 3: Cross multiply
    659.34x = 908.55 × 484.38
  4. Step 4: Simplify right side
    659.34x = 440,083.45
  5. Step 5: Solve for x
    x = 440,083.45/659.34
  6. Step 6: Final answer
    x = 667.46

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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.