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Finding the Fourth Proportional to 580.29, 866.79 and 383.66

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Solution

The fourth proportional to 580.29, 866.79 and 383.66 is: 573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.29 : 866.79 = 383.66 : x
  2. Step 2: Convert to fraction form
    580.29/866.79 = 383.66/x
  3. Step 3: Cross multiply
    580.29x = 866.79 × 383.66
  4. Step 4: Simplify right side
    580.29x = 332,552.65
  5. Step 5: Solve for x
    x = 332,552.65/580.29
  6. Step 6: Final answer
    x = 573.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.