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Finding the Fourth Proportional to 579.72, 868.77 and 493.86

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Solution

The fourth proportional to 579.72, 868.77 and 493.86 is: 740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.72 : 868.77 = 493.86 : x
  2. Step 2: Convert to fraction form
    579.72/868.77 = 493.86/x
  3. Step 3: Cross multiply
    579.72x = 868.77 × 493.86
  4. Step 4: Simplify right side
    579.72x = 429,050.75
  5. Step 5: Solve for x
    x = 429,050.75/579.72
  6. Step 6: Final answer
    x = 740.10

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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.