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Finding the Fourth Proportional to 559.76, 771.62 and 461.34

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Solution

The fourth proportional to 559.76, 771.62 and 461.34 is: 635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.76 : 771.62 = 461.34 : x
  2. Step 2: Convert to fraction form
    559.76/771.62 = 461.34/x
  3. Step 3: Cross multiply
    559.76x = 771.62 × 461.34
  4. Step 4: Simplify right side
    559.76x = 355,979.17
  5. Step 5: Solve for x
    x = 355,979.17/559.76
  6. Step 6: Final answer
    x = 635.95

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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.