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Finding the Fourth Proportional to 1,145.52, 1,725.01 and 823.14

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Solution

The fourth proportional to 1,145.52, 1,725.01 and 823.14 is: 1,239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.52 : 1,725.01 = 823.14 : x
  2. Step 2: Convert to fraction form
    1,145.52/1,725.01 = 823.14/x
  3. Step 3: Cross multiply
    1,145.52x = 1,725.01 × 823.14
  4. Step 4: Simplify right side
    1,145.52x = 1,419,922.67
  5. Step 5: Solve for x
    x = 1,419,922.67/1,145.52
  6. Step 6: Final answer
    x = 1,239.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.