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Finding the Fourth Proportional to 1,166.86, 1,751.51 and 705.77

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Solution

The fourth proportional to 1,166.86, 1,751.51 and 705.77 is: 1,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.86 : 1,751.51 = 705.77 : x
  2. Step 2: Convert to fraction form
    1,166.86/1,751.51 = 705.77/x
  3. Step 3: Cross multiply
    1,166.86x = 1,751.51 × 705.77
  4. Step 4: Simplify right side
    1,166.86x = 1,236,163.21
  5. Step 5: Solve for x
    x = 1,236,163.21/1,166.86
  6. Step 6: Final answer
    x = 1,059.39

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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.