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Finding the Fourth Proportional to 579.24, 800.05 and 421.62

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Solution

The fourth proportional to 579.24, 800.05 and 421.62 is: 582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.24 : 800.05 = 421.62 : x
  2. Step 2: Convert to fraction form
    579.24/800.05 = 421.62/x
  3. Step 3: Cross multiply
    579.24x = 800.05 × 421.62
  4. Step 4: Simplify right side
    579.24x = 337,313.50
  5. Step 5: Solve for x
    x = 337,313.50/579.24
  6. Step 6: Final answer
    x = 582.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.