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Finding the Fourth Proportional to 429.01, 645.86 and 292.92

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Solution

The fourth proportional to 429.01, 645.86 and 292.92 is: 440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.01 : 645.86 = 292.92 : x
  2. Step 2: Convert to fraction form
    429.01/645.86 = 292.92/x
  3. Step 3: Cross multiply
    429.01x = 645.86 × 292.92
  4. Step 4: Simplify right side
    429.01x = 189,185.31
  5. Step 5: Solve for x
    x = 189,185.31/429.01
  6. Step 6: Final answer
    x = 440.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.