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Finding the Fourth Proportional to 704.16, 971.78 and 389.42

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Solution

The fourth proportional to 704.16, 971.78 and 389.42 is: 537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.16 : 971.78 = 389.42 : x
  2. Step 2: Convert to fraction form
    704.16/971.78 = 389.42/x
  3. Step 3: Cross multiply
    704.16x = 971.78 × 389.42
  4. Step 4: Simplify right side
    704.16x = 378,431.05
  5. Step 5: Solve for x
    x = 378,431.05/704.16
  6. Step 6: Final answer
    x = 537.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.