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Finding the Fourth Proportional to 679.55, 1,017.66 and 613.81

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Solution

The fourth proportional to 679.55, 1,017.66 and 613.81 is: 919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.55 : 1,017.66 = 613.81 : x
  2. Step 2: Convert to fraction form
    679.55/1,017.66 = 613.81/x
  3. Step 3: Cross multiply
    679.55x = 1,017.66 × 613.81
  4. Step 4: Simplify right side
    679.55x = 624,649.88
  5. Step 5: Solve for x
    x = 624,649.88/679.55
  6. Step 6: Final answer
    x = 919.21

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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.