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Finding the Fourth Proportional to 704.61, 972.31 and 389.85

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Solution

The fourth proportional to 704.61, 972.31 and 389.85 is: 537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.61 : 972.31 = 389.85 : x
  2. Step 2: Convert to fraction form
    704.61/972.31 = 389.85/x
  3. Step 3: Cross multiply
    704.61x = 972.31 × 389.85
  4. Step 4: Simplify right side
    704.61x = 379,055.05
  5. Step 5: Solve for x
    x = 379,055.05/704.61
  6. Step 6: Final answer
    x = 537.96

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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.