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Finding the Fourth Proportional to 744.18, 1,116.81 and 513.60

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Solution

The fourth proportional to 744.18, 1,116.81 and 513.60 is: 770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.18 : 1,116.81 = 513.60 : x
  2. Step 2: Convert to fraction form
    744.18/1,116.81 = 513.60/x
  3. Step 3: Cross multiply
    744.18x = 1,116.81 × 513.60
  4. Step 4: Simplify right side
    744.18x = 573,593.62
  5. Step 5: Solve for x
    x = 573,593.62/744.18
  6. Step 6: Final answer
    x = 770.77

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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.