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Finding the Fourth Proportional to 559.12, 771.70 and 372.28

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Solution

The fourth proportional to 559.12, 771.70 and 372.28 is: 513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.12 : 771.70 = 372.28 : x
  2. Step 2: Convert to fraction form
    559.12/771.70 = 372.28/x
  3. Step 3: Cross multiply
    559.12x = 771.70 × 372.28
  4. Step 4: Simplify right side
    559.12x = 287,288.48
  5. Step 5: Solve for x
    x = 287,288.48/559.12
  6. Step 6: Final answer
    x = 513.82

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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.