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Finding the Fourth Proportional to 1,265.94, 1,747.00 and 706.41

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Solution

The fourth proportional to 1,265.94, 1,747.00 and 706.41 is: 974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.94 : 1,747.00 = 706.41 : x
  2. Step 2: Convert to fraction form
    1,265.94/1,747.00 = 706.41/x
  3. Step 3: Cross multiply
    1,265.94x = 1,747.00 × 706.41
  4. Step 4: Simplify right side
    1,265.94x = 1,234,096.50
  5. Step 5: Solve for x
    x = 1,234,096.50/1,265.94
  6. Step 6: Final answer
    x = 974.85

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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.