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Finding the Fourth Proportional to 1,106.37, 1,655.91 and 777.69

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Solution

The fourth proportional to 1,106.37, 1,655.91 and 777.69 is: 1,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.37 : 1,655.91 = 777.69 : x
  2. Step 2: Convert to fraction form
    1,106.37/1,655.91 = 777.69/x
  3. Step 3: Cross multiply
    1,106.37x = 1,655.91 × 777.69
  4. Step 4: Simplify right side
    1,106.37x = 1,287,784.65
  5. Step 5: Solve for x
    x = 1,287,784.65/1,106.37
  6. Step 6: Final answer
    x = 1,163.97

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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.