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Finding the Fourth Proportional to 659.28, 909.95 and 548.65

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Solution

The fourth proportional to 659.28, 909.95 and 548.65 is: 757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.28 : 909.95 = 548.65 : x
  2. Step 2: Convert to fraction form
    659.28/909.95 = 548.65/x
  3. Step 3: Cross multiply
    659.28x = 909.95 × 548.65
  4. Step 4: Simplify right side
    659.28x = 499,245.55
  5. Step 5: Solve for x
    x = 499,245.55/659.28
  6. Step 6: Final answer
    x = 757.25

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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.