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Finding the Fourth Proportional to 681.39, 1,021.14 and 356.11

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Solution

The fourth proportional to 681.39, 1,021.14 and 356.11 is: 533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.39 : 1,021.14 = 356.11 : x
  2. Step 2: Convert to fraction form
    681.39/1,021.14 = 356.11/x
  3. Step 3: Cross multiply
    681.39x = 1,021.14 × 356.11
  4. Step 4: Simplify right side
    681.39x = 363,635.61
  5. Step 5: Solve for x
    x = 363,635.61/681.39
  6. Step 6: Final answer
    x = 533.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.