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Finding the Fourth Proportional to 580.16, 868.78 and 528.88

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Solution

The fourth proportional to 580.16, 868.78 and 528.88 is: 791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.16 : 868.78 = 528.88 : x
  2. Step 2: Convert to fraction form
    580.16/868.78 = 528.88/x
  3. Step 3: Cross multiply
    580.16x = 868.78 × 528.88
  4. Step 4: Simplify right side
    580.16x = 459,480.37
  5. Step 5: Solve for x
    x = 459,480.37/580.16
  6. Step 6: Final answer
    x = 791.99

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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.