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Finding the Fourth Proportional to 681.89, 1,021.05 and 585.01

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Solution

The fourth proportional to 681.89, 1,021.05 and 585.01 is: 875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.89 : 1,021.05 = 585.01 : x
  2. Step 2: Convert to fraction form
    681.89/1,021.05 = 585.01/x
  3. Step 3: Cross multiply
    681.89x = 1,021.05 × 585.01
  4. Step 4: Simplify right side
    681.89x = 597,316.43
  5. Step 5: Solve for x
    x = 597,316.43/681.89
  6. Step 6: Final answer
    x = 875.97

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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.