Home / 1,471.40-2,202.37-777.08

Finding the Fourth Proportional to 1,471.40, 2,202.37 and 777.08

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Solution

The fourth proportional to 1,471.40, 2,202.37 and 777.08 is: 1,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.40 : 2,202.37 = 777.08 : x
  2. Step 2: Convert to fraction form
    1,471.40/2,202.37 = 777.08/x
  3. Step 3: Cross multiply
    1,471.40x = 2,202.37 × 777.08
  4. Step 4: Simplify right side
    1,471.40x = 1,711,417.68
  5. Step 5: Solve for x
    x = 1,711,417.68/1,471.40
  6. Step 6: Final answer
    x = 1,163.12

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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.