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Finding the Fourth Proportional to 1,106.19, 1,659.31 and 456.53

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Solution

The fourth proportional to 1,106.19, 1,659.31 and 456.53 is: 684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.19 : 1,659.31 = 456.53 : x
  2. Step 2: Convert to fraction form
    1,106.19/1,659.31 = 456.53/x
  3. Step 3: Cross multiply
    1,106.19x = 1,659.31 × 456.53
  4. Step 4: Simplify right side
    1,106.19x = 757,515.36
  5. Step 5: Solve for x
    x = 757,515.36/1,106.19
  6. Step 6: Final answer
    x = 684.80

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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.