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Finding the Fourth Proportional to 592.29, 816.80 and 392.81

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Solution

The fourth proportional to 592.29, 816.80 and 392.81 is: 541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.29 : 816.80 = 392.81 : x
  2. Step 2: Convert to fraction form
    592.29/816.80 = 392.81/x
  3. Step 3: Cross multiply
    592.29x = 816.80 × 392.81
  4. Step 4: Simplify right side
    592.29x = 320,841.16
  5. Step 5: Solve for x
    x = 320,841.16/592.29
  6. Step 6: Final answer
    x = 541.70

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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.