Home / 1,022.25-1,410.27-785.79

Finding the Fourth Proportional to 1,022.25, 1,410.27 and 785.79

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Solution

The fourth proportional to 1,022.25, 1,410.27 and 785.79 is: 1,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.25 : 1,410.27 = 785.79 : x
  2. Step 2: Convert to fraction form
    1,022.25/1,410.27 = 785.79/x
  3. Step 3: Cross multiply
    1,022.25x = 1,410.27 × 785.79
  4. Step 4: Simplify right side
    1,022.25x = 1,108,176.06
  5. Step 5: Solve for x
    x = 1,108,176.06/1,022.25
  6. Step 6: Final answer
    x = 1,084.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.