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Finding the Fourth Proportional to 659.79, 910.50 and 397.75

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Solution

The fourth proportional to 659.79, 910.50 and 397.75 is: 548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.79 : 910.50 = 397.75 : x
  2. Step 2: Convert to fraction form
    659.79/910.50 = 397.75/x
  3. Step 3: Cross multiply
    659.79x = 910.50 × 397.75
  4. Step 4: Simplify right side
    659.79x = 362,151.38
  5. Step 5: Solve for x
    x = 362,151.38/659.79
  6. Step 6: Final answer
    x = 548.89

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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.