Home / 1,645.90-2,271.12-1,057.23

Finding the Fourth Proportional to 1,645.90, 2,271.12 and 1,057.23

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Solution

The fourth proportional to 1,645.90, 2,271.12 and 1,057.23 is: 1,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.90 : 2,271.12 = 1,057.23 : x
  2. Step 2: Convert to fraction form
    1,645.90/2,271.12 = 1,057.23/x
  3. Step 3: Cross multiply
    1,645.90x = 2,271.12 × 1,057.23
  4. Step 4: Simplify right side
    1,645.90x = 2,401,090.91
  5. Step 5: Solve for x
    x = 2,401,090.91/1,645.90
  6. Step 6: Final answer
    x = 1,458.84

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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.