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Finding the Fourth Proportional to 681.76, 1,021.38 and 527.86

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Solution

The fourth proportional to 681.76, 1,021.38 and 527.86 is: 790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.76 : 1,021.38 = 527.86 : x
  2. Step 2: Convert to fraction form
    681.76/1,021.38 = 527.86/x
  3. Step 3: Cross multiply
    681.76x = 1,021.38 × 527.86
  4. Step 4: Simplify right side
    681.76x = 539,145.65
  5. Step 5: Solve for x
    x = 539,145.65/681.76
  6. Step 6: Final answer
    x = 790.81

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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.