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Finding the Fourth Proportional to 429.73, 645.74 and 376.15

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Solution

The fourth proportional to 429.73, 645.74 and 376.15 is: 565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.73 : 645.74 = 376.15 : x
  2. Step 2: Convert to fraction form
    429.73/645.74 = 376.15/x
  3. Step 3: Cross multiply
    429.73x = 645.74 × 376.15
  4. Step 4: Simplify right side
    429.73x = 242,895.10
  5. Step 5: Solve for x
    x = 242,895.10/429.73
  6. Step 6: Final answer
    x = 565.23

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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.