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Finding the Fourth Proportional to 687.74, 949.02 and 393.00

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Solution

The fourth proportional to 687.74, 949.02 and 393.00 is: 542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.74 : 949.02 = 393.00 : x
  2. Step 2: Convert to fraction form
    687.74/949.02 = 393.00/x
  3. Step 3: Cross multiply
    687.74x = 949.02 × 393.00
  4. Step 4: Simplify right side
    687.74x = 372,965.17
  5. Step 5: Solve for x
    x = 372,965.17/687.74
  6. Step 6: Final answer
    x = 542.30

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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.