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Finding the Fourth Proportional to 681.18, 1,022.67 and 590.06

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Solution

The fourth proportional to 681.18, 1,022.67 and 590.06 is: 885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.18 : 1,022.67 = 590.06 : x
  2. Step 2: Convert to fraction form
    681.18/1,022.67 = 590.06/x
  3. Step 3: Cross multiply
    681.18x = 1,022.67 × 590.06
  4. Step 4: Simplify right side
    681.18x = 603,431.55
  5. Step 5: Solve for x
    x = 603,431.55/681.18
  6. Step 6: Final answer
    x = 885.86

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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.