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Finding the Fourth Proportional to 798.53, 1,101.17 and 588.33

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Solution

The fourth proportional to 798.53, 1,101.17 and 588.33 is: 811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.53 : 1,101.17 = 588.33 : x
  2. Step 2: Convert to fraction form
    798.53/1,101.17 = 588.33/x
  3. Step 3: Cross multiply
    798.53x = 1,101.17 × 588.33
  4. Step 4: Simplify right side
    798.53x = 647,848.40
  5. Step 5: Solve for x
    x = 647,848.40/798.53
  6. Step 6: Final answer
    x = 811.31

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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.