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Finding the Fourth Proportional to 738.34, 1,105.81 and 429.42

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Solution

The fourth proportional to 738.34, 1,105.81 and 429.42 is: 643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.34 : 1,105.81 = 429.42 : x
  2. Step 2: Convert to fraction form
    738.34/1,105.81 = 429.42/x
  3. Step 3: Cross multiply
    738.34x = 1,105.81 × 429.42
  4. Step 4: Simplify right side
    738.34x = 474,856.93
  5. Step 5: Solve for x
    x = 474,856.93/738.34
  6. Step 6: Final answer
    x = 643.14

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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.