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Finding the Fourth Proportional to 587.99, 879.38 and 523.45

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Solution

The fourth proportional to 587.99, 879.38 and 523.45 is: 782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.99 : 879.38 = 523.45 : x
  2. Step 2: Convert to fraction form
    587.99/879.38 = 523.45/x
  3. Step 3: Cross multiply
    587.99x = 879.38 × 523.45
  4. Step 4: Simplify right side
    587.99x = 460,311.46
  5. Step 5: Solve for x
    x = 460,311.46/587.99
  6. Step 6: Final answer
    x = 782.86

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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.