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Finding the Fourth Proportional to 857.97, 1,279.57 and 774.93

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Solution

The fourth proportional to 857.97, 1,279.57 and 774.93 is: 1,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.97 : 1,279.57 = 774.93 : x
  2. Step 2: Convert to fraction form
    857.97/1,279.57 = 774.93/x
  3. Step 3: Cross multiply
    857.97x = 1,279.57 × 774.93
  4. Step 4: Simplify right side
    857.97x = 991,577.18
  5. Step 5: Solve for x
    x = 991,577.18/857.97
  6. Step 6: Final answer
    x = 1,155.72

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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.