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Finding the Fourth Proportional to 816.33, 1,218.51 and 701.51

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Solution

The fourth proportional to 816.33, 1,218.51 and 701.51 is: 1,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.33 : 1,218.51 = 701.51 : x
  2. Step 2: Convert to fraction form
    816.33/1,218.51 = 701.51/x
  3. Step 3: Cross multiply
    816.33x = 1,218.51 × 701.51
  4. Step 4: Simplify right side
    816.33x = 854,796.95
  5. Step 5: Solve for x
    x = 854,796.95/816.33
  6. Step 6: Final answer
    x = 1,047.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.