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Finding the Fourth Proportional to 580.77, 871.17 and 190.77

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Solution

The fourth proportional to 580.77, 871.17 and 190.77 is: 286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.77 : 871.17 = 190.77 : x
  2. Step 2: Convert to fraction form
    580.77/871.17 = 190.77/x
  3. Step 3: Cross multiply
    580.77x = 871.17 × 190.77
  4. Step 4: Simplify right side
    580.77x = 166,193.10
  5. Step 5: Solve for x
    x = 166,193.10/580.77
  6. Step 6: Final answer
    x = 286.16

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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.