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Finding the Fourth Proportional to 1,186.61, 1,636.73 and 772.61

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Solution

The fourth proportional to 1,186.61, 1,636.73 and 772.61 is: 1,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.61 : 1,636.73 = 772.61 : x
  2. Step 2: Convert to fraction form
    1,186.61/1,636.73 = 772.61/x
  3. Step 3: Cross multiply
    1,186.61x = 1,636.73 × 772.61
  4. Step 4: Simplify right side
    1,186.61x = 1,264,550.10
  5. Step 5: Solve for x
    x = 1,264,550.10/1,186.61
  6. Step 6: Final answer
    x = 1,065.68

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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.