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Finding the Fourth Proportional to 1,166.30, 1,747.70 and 703.57

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Solution

The fourth proportional to 1,166.30, 1,747.70 and 703.57 is: 1,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.30 : 1,747.70 = 703.57 : x
  2. Step 2: Convert to fraction form
    1,166.30/1,747.70 = 703.57/x
  3. Step 3: Cross multiply
    1,166.30x = 1,747.70 × 703.57
  4. Step 4: Simplify right side
    1,166.30x = 1,229,621.40
  5. Step 5: Solve for x
    x = 1,229,621.40/1,166.30
  6. Step 6: Final answer
    x = 1,054.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.