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Finding the Fourth Proportional to 857.38, 1,183.50 and 562.74

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Solution

The fourth proportional to 857.38, 1,183.50 and 562.74 is: 776.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.38 : 1,183.50 = 562.74 : x
  2. Step 2: Convert to fraction form
    857.38/1,183.50 = 562.74/x
  3. Step 3: Cross multiply
    857.38x = 1,183.50 × 562.74
  4. Step 4: Simplify right side
    857.38x = 665,999.98
  5. Step 5: Solve for x
    x = 665,999.98/857.38
  6. Step 6: Final answer
    x = 776.79

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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.