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Finding the Fourth Proportional to 706.46, 975.02 and 675.31

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Solution

The fourth proportional to 706.46, 975.02 and 675.31 is: 932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.46 : 975.02 = 675.31 : x
  2. Step 2: Convert to fraction form
    706.46/975.02 = 675.31/x
  3. Step 3: Cross multiply
    706.46x = 975.02 × 675.31
  4. Step 4: Simplify right side
    706.46x = 658,440.76
  5. Step 5: Solve for x
    x = 658,440.76/706.46
  6. Step 6: Final answer
    x = 932.03

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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.