Home / 1,020.24-1,406.12-832.52

Finding the Fourth Proportional to 1,020.24, 1,406.12 and 832.52

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Solution

The fourth proportional to 1,020.24, 1,406.12 and 832.52 is: 1,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.24 : 1,406.12 = 832.52 : x
  2. Step 2: Convert to fraction form
    1,020.24/1,406.12 = 832.52/x
  3. Step 3: Cross multiply
    1,020.24x = 1,406.12 × 832.52
  4. Step 4: Simplify right side
    1,020.24x = 1,170,623.02
  5. Step 5: Solve for x
    x = 1,170,623.02/1,020.24
  6. Step 6: Final answer
    x = 1,147.40

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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.