Home / 1,266.34-1,747.53-706.80

Finding the Fourth Proportional to 1,266.34, 1,747.53 and 706.80

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Solution

The fourth proportional to 1,266.34, 1,747.53 and 706.80 is: 975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.34 : 1,747.53 = 706.80 : x
  2. Step 2: Convert to fraction form
    1,266.34/1,747.53 = 706.80/x
  3. Step 3: Cross multiply
    1,266.34x = 1,747.53 × 706.80
  4. Step 4: Simplify right side
    1,266.34x = 1,235,154.20
  5. Step 5: Solve for x
    x = 1,235,154.20/1,266.34
  6. Step 6: Final answer
    x = 975.37

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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.