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Finding the Fourth Proportional to 833.71, 1,149.66 and 716.08

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Solution

The fourth proportional to 833.71, 1,149.66 and 716.08 is: 987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.71 : 1,149.66 = 716.08 : x
  2. Step 2: Convert to fraction form
    833.71/1,149.66 = 716.08/x
  3. Step 3: Cross multiply
    833.71x = 1,149.66 × 716.08
  4. Step 4: Simplify right side
    833.71x = 823,245.66
  5. Step 5: Solve for x
    x = 823,245.66/833.71
  6. Step 6: Final answer
    x = 987.45

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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.