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Finding the Fourth Proportional to 1,106.00, 1,659.67 and 456.65

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Solution

The fourth proportional to 1,106.00, 1,659.67 and 456.65 is: 685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.00 : 1,659.67 = 456.65 : x
  2. Step 2: Convert to fraction form
    1,106.00/1,659.67 = 456.65/x
  3. Step 3: Cross multiply
    1,106.00x = 1,659.67 × 456.65
  4. Step 4: Simplify right side
    1,106.00x = 757,887.66
  5. Step 5: Solve for x
    x = 757,887.66/1,106.00
  6. Step 6: Final answer
    x = 685.25

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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.