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Finding the Fourth Proportional to 484.74, 669.01 and 288.25

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Solution

The fourth proportional to 484.74, 669.01 and 288.25 is: 397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.74 : 669.01 = 288.25 : x
  2. Step 2: Convert to fraction form
    484.74/669.01 = 288.25/x
  3. Step 3: Cross multiply
    484.74x = 669.01 × 288.25
  4. Step 4: Simplify right side
    484.74x = 192,842.13
  5. Step 5: Solve for x
    x = 192,842.13/484.74
  6. Step 6: Final answer
    x = 397.83

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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.