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Finding the Fourth Proportional to 592.48, 892.16 and 439.49

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Solution

The fourth proportional to 592.48, 892.16 and 439.49 is: 661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.48 : 892.16 = 439.49 : x
  2. Step 2: Convert to fraction form
    592.48/892.16 = 439.49/x
  3. Step 3: Cross multiply
    592.48x = 892.16 × 439.49
  4. Step 4: Simplify right side
    592.48x = 392,095.40
  5. Step 5: Solve for x
    x = 392,095.40/592.48
  6. Step 6: Final answer
    x = 661.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.