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Finding the Fourth Proportional to 484.89, 669.06 and 285.78

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Solution

The fourth proportional to 484.89, 669.06 and 285.78 is: 394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.89 : 669.06 = 285.78 : x
  2. Step 2: Convert to fraction form
    484.89/669.06 = 285.78/x
  3. Step 3: Cross multiply
    484.89x = 669.06 × 285.78
  4. Step 4: Simplify right side
    484.89x = 191,203.97
  5. Step 5: Solve for x
    x = 191,203.97/484.89
  6. Step 6: Final answer
    x = 394.32

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.