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Finding the Fourth Proportional to 1,743.69, 2,614.75 and 818.50

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Solution

The fourth proportional to 1,743.69, 2,614.75 and 818.50 is: 1,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.69 : 2,614.75 = 818.50 : x
  2. Step 2: Convert to fraction form
    1,743.69/2,614.75 = 818.50/x
  3. Step 3: Cross multiply
    1,743.69x = 2,614.75 × 818.50
  4. Step 4: Simplify right side
    1,743.69x = 2,140,172.88
  5. Step 5: Solve for x
    x = 2,140,172.88/1,743.69
  6. Step 6: Final answer
    x = 1,227.38

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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.