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Finding the Fourth Proportional to 579.60, 868.29 and 501.75

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Solution

The fourth proportional to 579.60, 868.29 and 501.75 is: 751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.60 : 868.29 = 501.75 : x
  2. Step 2: Convert to fraction form
    579.60/868.29 = 501.75/x
  3. Step 3: Cross multiply
    579.60x = 868.29 × 501.75
  4. Step 4: Simplify right side
    579.60x = 435,660.17
  5. Step 5: Solve for x
    x = 435,660.17/579.60
  6. Step 6: Final answer
    x = 751.66

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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.