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Finding the Fourth Proportional to 833.41, 1,254.71 and 731.35

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Solution

The fourth proportional to 833.41, 1,254.71 and 731.35 is: 1,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.41 : 1,254.71 = 731.35 : x
  2. Step 2: Convert to fraction form
    833.41/1,254.71 = 731.35/x
  3. Step 3: Cross multiply
    833.41x = 1,254.71 × 731.35
  4. Step 4: Simplify right side
    833.41x = 917,632.16
  5. Step 5: Solve for x
    x = 917,632.16/833.41
  6. Step 6: Final answer
    x = 1,101.06

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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.