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Finding the Fourth Proportional to 833.20, 1,254.73 and 784.60

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Solution

The fourth proportional to 833.20, 1,254.73 and 784.60 is: 1,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.20 : 1,254.73 = 784.60 : x
  2. Step 2: Convert to fraction form
    833.20/1,254.73 = 784.60/x
  3. Step 3: Cross multiply
    833.20x = 1,254.73 × 784.60
  4. Step 4: Simplify right side
    833.20x = 984,461.16
  5. Step 5: Solve for x
    x = 984,461.16/833.20
  6. Step 6: Final answer
    x = 1,181.54

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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.