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Finding the Fourth Proportional to 592.72, 818.91 and 446.31

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Solution

The fourth proportional to 592.72, 818.91 and 446.31 is: 616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.72 : 818.91 = 446.31 : x
  2. Step 2: Convert to fraction form
    592.72/818.91 = 446.31/x
  3. Step 3: Cross multiply
    592.72x = 818.91 × 446.31
  4. Step 4: Simplify right side
    592.72x = 365,487.72
  5. Step 5: Solve for x
    x = 365,487.72/592.72
  6. Step 6: Final answer
    x = 616.63

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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.