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Finding the Fourth Proportional to 704.60, 972.35 and 394.10

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Solution

The fourth proportional to 704.60, 972.35 and 394.10 is: 543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.60 : 972.35 = 394.10 : x
  2. Step 2: Convert to fraction form
    704.60/972.35 = 394.10/x
  3. Step 3: Cross multiply
    704.60x = 972.35 × 394.10
  4. Step 4: Simplify right side
    704.60x = 383,203.14
  5. Step 5: Solve for x
    x = 383,203.14/704.60
  6. Step 6: Final answer
    x = 543.86

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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.