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Finding the Fourth Proportional to 858.70, 1,184.37 and 563.86

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Solution

The fourth proportional to 858.70, 1,184.37 and 563.86 is: 777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.70 : 1,184.37 = 563.86 : x
  2. Step 2: Convert to fraction form
    858.70/1,184.37 = 563.86/x
  3. Step 3: Cross multiply
    858.70x = 1,184.37 × 563.86
  4. Step 4: Simplify right side
    858.70x = 667,812.95
  5. Step 5: Solve for x
    x = 667,812.95/858.70
  6. Step 6: Final answer
    x = 777.71

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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.