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Finding the Fourth Proportional to 546.16, 817.80 and 392.28

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Solution

The fourth proportional to 546.16, 817.80 and 392.28 is: 587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.16 : 817.80 = 392.28 : x
  2. Step 2: Convert to fraction form
    546.16/817.80 = 392.28/x
  3. Step 3: Cross multiply
    546.16x = 817.80 × 392.28
  4. Step 4: Simplify right side
    546.16x = 320,806.58
  5. Step 5: Solve for x
    x = 320,806.58/546.16
  6. Step 6: Final answer
    x = 587.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.