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Finding the Fourth Proportional to 690.73, 952.77 and 543.31

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Solution

The fourth proportional to 690.73, 952.77 and 543.31 is: 749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.73 : 952.77 = 543.31 : x
  2. Step 2: Convert to fraction form
    690.73/952.77 = 543.31/x
  3. Step 3: Cross multiply
    690.73x = 952.77 × 543.31
  4. Step 4: Simplify right side
    690.73x = 517,649.47
  5. Step 5: Solve for x
    x = 517,649.47/690.73
  6. Step 6: Final answer
    x = 749.42

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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.