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Finding the Fourth Proportional to 682.58, 943.85 and 542.45

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Solution

The fourth proportional to 682.58, 943.85 and 542.45 is: 750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.58 : 943.85 = 542.45 : x
  2. Step 2: Convert to fraction form
    682.58/943.85 = 542.45/x
  3. Step 3: Cross multiply
    682.58x = 943.85 × 542.45
  4. Step 4: Simplify right side
    682.58x = 511,989.84
  5. Step 5: Solve for x
    x = 511,989.84/682.58
  6. Step 6: Final answer
    x = 750.08

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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.