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Finding the Fourth Proportional to 580.44, 869.44 and 471.12

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Solution

The fourth proportional to 580.44, 869.44 and 471.12 is: 705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.44 : 869.44 = 471.12 : x
  2. Step 2: Convert to fraction form
    580.44/869.44 = 471.12/x
  3. Step 3: Cross multiply
    580.44x = 869.44 × 471.12
  4. Step 4: Simplify right side
    580.44x = 409,610.57
  5. Step 5: Solve for x
    x = 409,610.57/580.44
  6. Step 6: Final answer
    x = 705.69

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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.