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Finding the Fourth Proportional to 688.24, 949.98 and 393.76

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Solution

The fourth proportional to 688.24, 949.98 and 393.76 is: 543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.24 : 949.98 = 393.76 : x
  2. Step 2: Convert to fraction form
    688.24/949.98 = 393.76/x
  3. Step 3: Cross multiply
    688.24x = 949.98 × 393.76
  4. Step 4: Simplify right side
    688.24x = 374,064.12
  5. Step 5: Solve for x
    x = 374,064.12/688.24
  6. Step 6: Final answer
    x = 543.51

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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.