Home / 1,465.28-2,198.82-772.45

Finding the Fourth Proportional to 1,465.28, 2,198.82 and 772.45

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Solution

The fourth proportional to 1,465.28, 2,198.82 and 772.45 is: 1,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.28 : 2,198.82 = 772.45 : x
  2. Step 2: Convert to fraction form
    1,465.28/2,198.82 = 772.45/x
  3. Step 3: Cross multiply
    1,465.28x = 2,198.82 × 772.45
  4. Step 4: Simplify right side
    1,465.28x = 1,698,478.51
  5. Step 5: Solve for x
    x = 1,698,478.51/1,465.28
  6. Step 6: Final answer
    x = 1,159.15

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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.