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Finding the Fourth Proportional to 679.22, 1,014.50 and 614.11

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Solution

The fourth proportional to 679.22, 1,014.50 and 614.11 is: 917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.22 : 1,014.50 = 614.11 : x
  2. Step 2: Convert to fraction form
    679.22/1,014.50 = 614.11/x
  3. Step 3: Cross multiply
    679.22x = 1,014.50 × 614.11
  4. Step 4: Simplify right side
    679.22x = 623,014.60
  5. Step 5: Solve for x
    x = 623,014.60/679.22
  6. Step 6: Final answer
    x = 917.25

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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.