Home / 1,645.85-2,270.16-1,057.10

Finding the Fourth Proportional to 1,645.85, 2,270.16 and 1,057.10

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Solution

The fourth proportional to 1,645.85, 2,270.16 and 1,057.10 is: 1,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.85 : 2,270.16 = 1,057.10 : x
  2. Step 2: Convert to fraction form
    1,645.85/2,270.16 = 1,057.10/x
  3. Step 3: Cross multiply
    1,645.85x = 2,270.16 × 1,057.10
  4. Step 4: Simplify right side
    1,645.85x = 2,399,786.14
  5. Step 5: Solve for x
    x = 2,399,786.14/1,645.85
  6. Step 6: Final answer
    x = 1,458.08

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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.