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Finding the Fourth Proportional to 743.90, 1,116.94 and 513.14

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Solution

The fourth proportional to 743.90, 1,116.94 and 513.14 is: 770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.90 : 1,116.94 = 513.14 : x
  2. Step 2: Convert to fraction form
    743.90/1,116.94 = 513.14/x
  3. Step 3: Cross multiply
    743.90x = 1,116.94 × 513.14
  4. Step 4: Simplify right side
    743.90x = 573,146.59
  5. Step 5: Solve for x
    x = 573,146.59/743.90
  6. Step 6: Final answer
    x = 770.46

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Double scale
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1.5x scale

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.