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Finding the Fourth Proportional to 1,766.77, 2,650.66 and 712.91

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Solution

The fourth proportional to 1,766.77, 2,650.66 and 712.91 is: 1,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.77 : 2,650.66 = 712.91 : x
  2. Step 2: Convert to fraction form
    1,766.77/2,650.66 = 712.91/x
  3. Step 3: Cross multiply
    1,766.77x = 2,650.66 × 712.91
  4. Step 4: Simplify right side
    1,766.77x = 1,889,686.86
  5. Step 5: Solve for x
    x = 1,889,686.86/1,766.77
  6. Step 6: Final answer
    x = 1,069.57

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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.