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Finding the Fourth Proportional to 833.47, 1,151.72 and 722.59

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Solution

The fourth proportional to 833.47, 1,151.72 and 722.59 is: 998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.47 : 1,151.72 = 722.59 : x
  2. Step 2: Convert to fraction form
    833.47/1,151.72 = 722.59/x
  3. Step 3: Cross multiply
    833.47x = 1,151.72 × 722.59
  4. Step 4: Simplify right side
    833.47x = 832,221.35
  5. Step 5: Solve for x
    x = 832,221.35/833.47
  6. Step 6: Final answer
    x = 998.50

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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.