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Finding the Fourth Proportional to 2,350.71, 3,526.36 and 769.40

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Solution

The fourth proportional to 2,350.71, 3,526.36 and 769.40 is: 1,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.71 : 3,526.36 = 769.40 : x
  2. Step 2: Convert to fraction form
    2,350.71/3,526.36 = 769.40/x
  3. Step 3: Cross multiply
    2,350.71x = 3,526.36 × 769.40
  4. Step 4: Simplify right side
    2,350.71x = 2,713,163.75
  5. Step 5: Solve for x
    x = 2,713,163.75/2,350.71
  6. Step 6: Final answer
    x = 1,154.19

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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.