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Finding the Fourth Proportional to 858.49, 1,185.09 and 563.24

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Solution

The fourth proportional to 858.49, 1,185.09 and 563.24 is: 777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.49 : 1,185.09 = 563.24 : x
  2. Step 2: Convert to fraction form
    858.49/1,185.09 = 563.24/x
  3. Step 3: Cross multiply
    858.49x = 1,185.09 × 563.24
  4. Step 4: Simplify right side
    858.49x = 667,490.09
  5. Step 5: Solve for x
    x = 667,490.09/858.49
  6. Step 6: Final answer
    x = 777.52

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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.