Home / 1,464.45-2,021.09-835.19

Finding the Fourth Proportional to 1,464.45, 2,021.09 and 835.19

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Solution

The fourth proportional to 1,464.45, 2,021.09 and 835.19 is: 1,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.45 : 2,021.09 = 835.19 : x
  2. Step 2: Convert to fraction form
    1,464.45/2,021.09 = 835.19/x
  3. Step 3: Cross multiply
    1,464.45x = 2,021.09 × 835.19
  4. Step 4: Simplify right side
    1,464.45x = 1,687,984.05
  5. Step 5: Solve for x
    x = 1,687,984.05/1,464.45
  6. Step 6: Final answer
    x = 1,152.64

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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.