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Finding the Fourth Proportional to 543.83, 811.82 and 461.79

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Solution

The fourth proportional to 543.83, 811.82 and 461.79 is: 689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.83 : 811.82 = 461.79 : x
  2. Step 2: Convert to fraction form
    543.83/811.82 = 461.79/x
  3. Step 3: Cross multiply
    543.83x = 811.82 × 461.79
  4. Step 4: Simplify right side
    543.83x = 374,891.51
  5. Step 5: Solve for x
    x = 374,891.51/543.83
  6. Step 6: Final answer
    x = 689.36

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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.