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Finding the Fourth Proportional to 543.92, 751.68 and 456.44

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Solution

The fourth proportional to 543.92, 751.68 and 456.44 is: 630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.92 : 751.68 = 456.44 : x
  2. Step 2: Convert to fraction form
    543.92/751.68 = 456.44/x
  3. Step 3: Cross multiply
    543.92x = 751.68 × 456.44
  4. Step 4: Simplify right side
    543.92x = 343,093.06
  5. Step 5: Solve for x
    x = 343,093.06/543.92
  6. Step 6: Final answer
    x = 630.78

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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.