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Finding the Fourth Proportional to 680.52, 1,022.01 and 610.05

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Solution

The fourth proportional to 680.52, 1,022.01 and 610.05 is: 916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.52 : 1,022.01 = 610.05 : x
  2. Step 2: Convert to fraction form
    680.52/1,022.01 = 610.05/x
  3. Step 3: Cross multiply
    680.52x = 1,022.01 × 610.05
  4. Step 4: Simplify right side
    680.52x = 623,477.20
  5. Step 5: Solve for x
    x = 623,477.20/680.52
  6. Step 6: Final answer
    x = 916.18

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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.