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Finding the Fourth Proportional to 680.21, 1,014.42 and 614.60

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Solution

The fourth proportional to 680.21, 1,014.42 and 614.60 is: 916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.21 : 1,014.42 = 614.60 : x
  2. Step 2: Convert to fraction form
    680.21/1,014.42 = 614.60/x
  3. Step 3: Cross multiply
    680.21x = 1,014.42 × 614.60
  4. Step 4: Simplify right side
    680.21x = 623,462.53
  5. Step 5: Solve for x
    x = 623,462.53/680.21
  6. Step 6: Final answer
    x = 916.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.