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Finding the Fourth Proportional to 659.84, 909.24 and 484.88

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Solution

The fourth proportional to 659.84, 909.24 and 484.88 is: 668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.84 : 909.24 = 484.88 : x
  2. Step 2: Convert to fraction form
    659.84/909.24 = 484.88/x
  3. Step 3: Cross multiply
    659.84x = 909.24 × 484.88
  4. Step 4: Simplify right side
    659.84x = 440,872.29
  5. Step 5: Solve for x
    x = 440,872.29/659.84
  6. Step 6: Final answer
    x = 668.15

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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.