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Finding the Fourth Proportional to 580.05, 869.80 and 336.65

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Solution

The fourth proportional to 580.05, 869.80 and 336.65 is: 504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.05 : 869.80 = 336.65 : x
  2. Step 2: Convert to fraction form
    580.05/869.80 = 336.65/x
  3. Step 3: Cross multiply
    580.05x = 869.80 × 336.65
  4. Step 4: Simplify right side
    580.05x = 292,813.82
  5. Step 5: Solve for x
    x = 292,813.82/580.05
  6. Step 6: Final answer
    x = 504.81

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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.