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Finding the Fourth Proportional to 580.05, 869.38 and 336.06

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Solution

The fourth proportional to 580.05, 869.38 and 336.06 is: 503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.05 : 869.38 = 336.06 : x
  2. Step 2: Convert to fraction form
    580.05/869.38 = 336.06/x
  3. Step 3: Cross multiply
    580.05x = 869.38 × 336.06
  4. Step 4: Simplify right side
    580.05x = 292,163.84
  5. Step 5: Solve for x
    x = 292,163.84/580.05
  6. Step 6: Final answer
    x = 503.69

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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.