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Finding the Fourth Proportional to 833.06, 1,146.56 and 726.14

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Solution

The fourth proportional to 833.06, 1,146.56 and 726.14 is: 999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.06 : 1,146.56 = 726.14 : x
  2. Step 2: Convert to fraction form
    833.06/1,146.56 = 726.14/x
  3. Step 3: Cross multiply
    833.06x = 1,146.56 × 726.14
  4. Step 4: Simplify right side
    833.06x = 832,563.08
  5. Step 5: Solve for x
    x = 832,563.08/833.06
  6. Step 6: Final answer
    x = 999.40

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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.