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Finding the Fourth Proportional to 857.13, 1,284.19 and 767.49

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Solution

The fourth proportional to 857.13, 1,284.19 and 767.49 is: 1,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.13 : 1,284.19 = 767.49 : x
  2. Step 2: Convert to fraction form
    857.13/1,284.19 = 767.49/x
  3. Step 3: Cross multiply
    857.13x = 1,284.19 × 767.49
  4. Step 4: Simplify right side
    857.13x = 985,602.98
  5. Step 5: Solve for x
    x = 985,602.98/857.13
  6. Step 6: Final answer
    x = 1,149.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.