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Finding the Fourth Proportional to 706.88, 975.40 and 396.40

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Solution

The fourth proportional to 706.88, 975.40 and 396.40 is: 546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.88 : 975.40 = 396.40 : x
  2. Step 2: Convert to fraction form
    706.88/975.40 = 396.40/x
  3. Step 3: Cross multiply
    706.88x = 975.40 × 396.40
  4. Step 4: Simplify right side
    706.88x = 386,648.56
  5. Step 5: Solve for x
    x = 386,648.56/706.88
  6. Step 6: Final answer
    x = 546.98

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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.