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Finding the Fourth Proportional to 543.92, 811.62 and 478.31

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Solution

The fourth proportional to 543.92, 811.62 and 478.31 is: 713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.92 : 811.62 = 478.31 : x
  2. Step 2: Convert to fraction form
    543.92/811.62 = 478.31/x
  3. Step 3: Cross multiply
    543.92x = 811.62 × 478.31
  4. Step 4: Simplify right side
    543.92x = 388,201.90
  5. Step 5: Solve for x
    x = 388,201.90/543.92
  6. Step 6: Final answer
    x = 713.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.