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Finding the Fourth Proportional to 659.30, 908.99 and 540.84

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Solution

The fourth proportional to 659.30, 908.99 and 540.84 is: 745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.30 : 908.99 = 540.84 : x
  2. Step 2: Convert to fraction form
    659.30/908.99 = 540.84/x
  3. Step 3: Cross multiply
    659.30x = 908.99 × 540.84
  4. Step 4: Simplify right side
    659.30x = 491,615.45
  5. Step 5: Solve for x
    x = 491,615.45/659.30
  6. Step 6: Final answer
    x = 745.67

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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.