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Finding the Fourth Proportional to 543.93, 819.53 and 471.03

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Solution

The fourth proportional to 543.93, 819.53 and 471.03 is: 709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.93 : 819.53 = 471.03 : x
  2. Step 2: Convert to fraction form
    543.93/819.53 = 471.03/x
  3. Step 3: Cross multiply
    543.93x = 819.53 × 471.03
  4. Step 4: Simplify right side
    543.93x = 386,023.22
  5. Step 5: Solve for x
    x = 386,023.22/543.93
  6. Step 6: Final answer
    x = 709.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.