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Finding the Fourth Proportional to 580.70, 796.72 and 531.74

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Solution

The fourth proportional to 580.70, 796.72 and 531.74 is: 729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.70 : 796.72 = 531.74 : x
  2. Step 2: Convert to fraction form
    580.70/796.72 = 531.74/x
  3. Step 3: Cross multiply
    580.70x = 796.72 × 531.74
  4. Step 4: Simplify right side
    580.70x = 423,647.89
  5. Step 5: Solve for x
    x = 423,647.89/580.70
  6. Step 6: Final answer
    x = 729.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.