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Finding the Fourth Proportional to 547.29, 820.78 and 373.92

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Solution

The fourth proportional to 547.29, 820.78 and 373.92 is: 560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.29 : 820.78 = 373.92 : x
  2. Step 2: Convert to fraction form
    547.29/820.78 = 373.92/x
  3. Step 3: Cross multiply
    547.29x = 820.78 × 373.92
  4. Step 4: Simplify right side
    547.29x = 306,904.15
  5. Step 5: Solve for x
    x = 306,904.15/547.29
  6. Step 6: Final answer
    x = 560.77

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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.