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Finding the Fourth Proportional to 706.46, 975.29 and 548.74

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Solution

The fourth proportional to 706.46, 975.29 and 548.74 is: 757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.46 : 975.29 = 548.74 : x
  2. Step 2: Convert to fraction form
    706.46/975.29 = 548.74/x
  3. Step 3: Cross multiply
    706.46x = 975.29 × 548.74
  4. Step 4: Simplify right side
    706.46x = 535,179.11
  5. Step 5: Solve for x
    x = 535,179.11/706.46
  6. Step 6: Final answer
    x = 757.56

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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.