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Finding the Fourth Proportional to 857.94, 1,184.28 and 563.28

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Solution

The fourth proportional to 857.94, 1,184.28 and 563.28 is: 777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.94 : 1,184.28 = 563.28 : x
  2. Step 2: Convert to fraction form
    857.94/1,184.28 = 563.28/x
  3. Step 3: Cross multiply
    857.94x = 1,184.28 × 563.28
  4. Step 4: Simplify right side
    857.94x = 667,081.24
  5. Step 5: Solve for x
    x = 667,081.24/857.94
  6. Step 6: Final answer
    x = 777.54

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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.