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Finding the Fourth Proportional to 429.74, 645.21 and 407.33

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Solution

The fourth proportional to 429.74, 645.21 and 407.33 is: 611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.74 : 645.21 = 407.33 : x
  2. Step 2: Convert to fraction form
    429.74/645.21 = 407.33/x
  3. Step 3: Cross multiply
    429.74x = 645.21 × 407.33
  4. Step 4: Simplify right side
    429.74x = 262,810.16
  5. Step 5: Solve for x
    x = 262,810.16/429.74
  6. Step 6: Final answer
    x = 611.56

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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.