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Finding the Fourth Proportional to 709.45, 978.94 and 394.72

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Solution

The fourth proportional to 709.45, 978.94 and 394.72 is: 544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.45 : 978.94 = 394.72 : x
  2. Step 2: Convert to fraction form
    709.45/978.94 = 394.72/x
  3. Step 3: Cross multiply
    709.45x = 978.94 × 394.72
  4. Step 4: Simplify right side
    709.45x = 386,407.20
  5. Step 5: Solve for x
    x = 386,407.20/709.45
  6. Step 6: Final answer
    x = 544.66

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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.