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Finding the Fourth Proportional to 579.72, 800.04 and 346.92

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Solution

The fourth proportional to 579.72, 800.04 and 346.92 is: 478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.72 : 800.04 = 346.92 : x
  2. Step 2: Convert to fraction form
    579.72/800.04 = 346.92/x
  3. Step 3: Cross multiply
    579.72x = 800.04 × 346.92
  4. Step 4: Simplify right side
    579.72x = 277,549.88
  5. Step 5: Solve for x
    x = 277,549.88/579.72
  6. Step 6: Final answer
    x = 478.77

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