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Finding the Fourth Proportional to 833.01, 1,246.80 and 613.58

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Solution

The fourth proportional to 833.01, 1,246.80 and 613.58 is: 918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.01 : 1,246.80 = 613.58 : x
  2. Step 2: Convert to fraction form
    833.01/1,246.80 = 613.58/x
  3. Step 3: Cross multiply
    833.01x = 1,246.80 × 613.58
  4. Step 4: Simplify right side
    833.01x = 765,011.54
  5. Step 5: Solve for x
    x = 765,011.54/833.01
  6. Step 6: Final answer
    x = 918.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.