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Finding the Fourth Proportional to 1,452.81, 2,004.84 and 823.32

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Solution

The fourth proportional to 1,452.81, 2,004.84 and 823.32 is: 1,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.81 : 2,004.84 = 823.32 : x
  2. Step 2: Convert to fraction form
    1,452.81/2,004.84 = 823.32/x
  3. Step 3: Cross multiply
    1,452.81x = 2,004.84 × 823.32
  4. Step 4: Simplify right side
    1,452.81x = 1,650,624.87
  5. Step 5: Solve for x
    x = 1,650,624.87/1,452.81
  6. Step 6: Final answer
    x = 1,136.16

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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.