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Finding the Fourth Proportional to 706.96, 975.54 and 392.24

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Solution

The fourth proportional to 706.96, 975.54 and 392.24 is: 541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.96 : 975.54 = 392.24 : x
  2. Step 2: Convert to fraction form
    706.96/975.54 = 392.24/x
  3. Step 3: Cross multiply
    706.96x = 975.54 × 392.24
  4. Step 4: Simplify right side
    706.96x = 382,648.25
  5. Step 5: Solve for x
    x = 382,648.25/706.96
  6. Step 6: Final answer
    x = 541.26

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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.