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Finding the Fourth Proportional to 429.56, 596.90 and 425.11

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Solution

The fourth proportional to 429.56, 596.90 and 425.11 is: 590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.56 : 596.90 = 425.11 : x
  2. Step 2: Convert to fraction form
    429.56/596.90 = 425.11/x
  3. Step 3: Cross multiply
    429.56x = 596.90 × 425.11
  4. Step 4: Simplify right side
    429.56x = 253,748.16
  5. Step 5: Solve for x
    x = 253,748.16/429.56
  6. Step 6: Final answer
    x = 590.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.