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Finding the Fourth Proportional to 681.84, 1,020.12 and 476.76

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Solution

The fourth proportional to 681.84, 1,020.12 and 476.76 is: 713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.84 : 1,020.12 = 476.76 : x
  2. Step 2: Convert to fraction form
    681.84/1,020.12 = 476.76/x
  3. Step 3: Cross multiply
    681.84x = 1,020.12 × 476.76
  4. Step 4: Simplify right side
    681.84x = 486,352.41
  5. Step 5: Solve for x
    x = 486,352.41/681.84
  6. Step 6: Final answer
    x = 713.29

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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.