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Finding the Fourth Proportional to 559.34, 771.62 and 346.56

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Solution

The fourth proportional to 559.34, 771.62 and 346.56 is: 478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.34 : 771.62 = 346.56 : x
  2. Step 2: Convert to fraction form
    559.34/771.62 = 346.56/x
  3. Step 3: Cross multiply
    559.34x = 771.62 × 346.56
  4. Step 4: Simplify right side
    559.34x = 267,410.89
  5. Step 5: Solve for x
    x = 267,410.89/559.34
  6. Step 6: Final answer
    x = 478.09

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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.