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Finding the Fourth Proportional to 706.75, 975.27 and 392.02

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Solution

The fourth proportional to 706.75, 975.27 and 392.02 is: 540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.75 : 975.27 = 392.02 : x
  2. Step 2: Convert to fraction form
    706.75/975.27 = 392.02/x
  3. Step 3: Cross multiply
    706.75x = 975.27 × 392.02
  4. Step 4: Simplify right side
    706.75x = 382,325.35
  5. Step 5: Solve for x
    x = 382,325.35/706.75
  6. Step 6: Final answer
    x = 540.96

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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.