Home / 1,464.24-2,021.35-905.04

Finding the Fourth Proportional to 1,464.24, 2,021.35 and 905.04

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Solution

The fourth proportional to 1,464.24, 2,021.35 and 905.04 is: 1,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.24 : 2,021.35 = 905.04 : x
  2. Step 2: Convert to fraction form
    1,464.24/2,021.35 = 905.04/x
  3. Step 3: Cross multiply
    1,464.24x = 2,021.35 × 905.04
  4. Step 4: Simplify right side
    1,464.24x = 1,829,403.74
  5. Step 5: Solve for x
    x = 1,829,403.74/1,464.24
  6. Step 6: Final answer
    x = 1,249.38

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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.