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Finding the Fourth Proportional to 681.41, 1,020.09 and 508.83

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Solution

The fourth proportional to 681.41, 1,020.09 and 508.83 is: 761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.41 : 1,020.09 = 508.83 : x
  2. Step 2: Convert to fraction form
    681.41/1,020.09 = 508.83/x
  3. Step 3: Cross multiply
    681.41x = 1,020.09 × 508.83
  4. Step 4: Simplify right side
    681.41x = 519,052.39
  5. Step 5: Solve for x
    x = 519,052.39/681.41
  6. Step 6: Final answer
    x = 761.74

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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.