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Finding the Fourth Proportional to 429.70, 644.55 and 105.07

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Solution

The fourth proportional to 429.70, 644.55 and 105.07 is: 157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.70 : 644.55 = 105.07 : x
  2. Step 2: Convert to fraction form
    429.70/644.55 = 105.07/x
  3. Step 3: Cross multiply
    429.70x = 644.55 × 105.07
  4. Step 4: Simplify right side
    429.70x = 67,719.38
  5. Step 5: Solve for x
    x = 67,719.38/429.70
  6. Step 6: Final answer
    x = 157.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.