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Finding the Fourth Proportional to 585.09, 878.22 and 292.80

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Solution

The fourth proportional to 585.09, 878.22 and 292.80 is: 439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.09 : 878.22 = 292.80 : x
  2. Step 2: Convert to fraction form
    585.09/878.22 = 292.80/x
  3. Step 3: Cross multiply
    585.09x = 878.22 × 292.80
  4. Step 4: Simplify right side
    585.09x = 257,141.72
  5. Step 5: Solve for x
    x = 257,141.72/585.09
  6. Step 6: Final answer
    x = 439.49

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.