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Finding the Fourth Proportional to 1,266.07, 1,747.16 and 706.57

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Solution

The fourth proportional to 1,266.07, 1,747.16 and 706.57 is: 975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.07 : 1,747.16 = 706.57 : x
  2. Step 2: Convert to fraction form
    1,266.07/1,747.16 = 706.57/x
  3. Step 3: Cross multiply
    1,266.07x = 1,747.16 × 706.57
  4. Step 4: Simplify right side
    1,266.07x = 1,234,490.84
  5. Step 5: Solve for x
    x = 1,234,490.84/1,266.07
  6. Step 6: Final answer
    x = 975.06

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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.