Home / 1,452.60-2,004.63-823.12

Finding the Fourth Proportional to 1,452.60, 2,004.63 and 823.12

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Solution

The fourth proportional to 1,452.60, 2,004.63 and 823.12 is: 1,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.60 : 2,004.63 = 823.12 : x
  2. Step 2: Convert to fraction form
    1,452.60/2,004.63 = 823.12/x
  3. Step 3: Cross multiply
    1,452.60x = 2,004.63 × 823.12
  4. Step 4: Simplify right side
    1,452.60x = 1,650,051.05
  5. Step 5: Solve for x
    x = 1,650,051.05/1,452.60
  6. Step 6: Final answer
    x = 1,135.93

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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.