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Finding the Fourth Proportional to 706.86, 975.54 and 396.36

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Solution

The fourth proportional to 706.86, 975.54 and 396.36 is: 547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.86 : 975.54 = 396.36 : x
  2. Step 2: Convert to fraction form
    706.86/975.54 = 396.36/x
  3. Step 3: Cross multiply
    706.86x = 975.54 × 396.36
  4. Step 4: Simplify right side
    706.86x = 386,665.03
  5. Step 5: Solve for x
    x = 386,665.03/706.86
  6. Step 6: Final answer
    x = 547.02

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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.