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Finding the Fourth Proportional to 579.60, 868.50 and 374.00

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Solution

The fourth proportional to 579.60, 868.50 and 374.00 is: 560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.60 : 868.50 = 374.00 : x
  2. Step 2: Convert to fraction form
    579.60/868.50 = 374.00/x
  3. Step 3: Cross multiply
    579.60x = 868.50 × 374.00
  4. Step 4: Simplify right side
    579.60x = 324,814.66
  5. Step 5: Solve for x
    x = 324,814.66/579.60
  6. Step 6: Final answer
    x = 560.41

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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.