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Finding the Fourth Proportional to 429.23, 645.29 and 339.02

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Solution

The fourth proportional to 429.23, 645.29 and 339.02 is: 509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.23 : 645.29 = 339.02 : x
  2. Step 2: Convert to fraction form
    429.23/645.29 = 339.02/x
  3. Step 3: Cross multiply
    429.23x = 645.29 × 339.02
  4. Step 4: Simplify right side
    429.23x = 218,761.29
  5. Step 5: Solve for x
    x = 218,761.29/429.23
  6. Step 6: Final answer
    x = 509.67

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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.