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Finding the Fourth Proportional to 429, 645.72 and 366.36

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Solution

The fourth proportional to 429, 645.72 and 366.36 is: 551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429 : 645.72 = 366.36 : x
  2. Step 2: Convert to fraction form
    429/645.72 = 366.36/x
  3. Step 3: Cross multiply
    429x = 645.72 × 366.36
  4. Step 4: Simplify right side
    429x = 236,565.98
  5. Step 5: Solve for x
    x = 236,565.98/429
  6. Step 6: Final answer
    x = 551.44

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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.