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Finding the Fourth Proportional to 580.25, 868.17 and 357.93

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Solution

The fourth proportional to 580.25, 868.17 and 357.93 is: 535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.25 : 868.17 = 357.93 : x
  2. Step 2: Convert to fraction form
    580.25/868.17 = 357.93/x
  3. Step 3: Cross multiply
    580.25x = 868.17 × 357.93
  4. Step 4: Simplify right side
    580.25x = 310,744.09
  5. Step 5: Solve for x
    x = 310,744.09/580.25
  6. Step 6: Final answer
    x = 535.54

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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.