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Finding the Fourth Proportional to 1,106.98, 1,661.10 and 414.13

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Solution

The fourth proportional to 1,106.98, 1,661.10 and 414.13 is: 621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.98 : 1,661.10 = 414.13 : x
  2. Step 2: Convert to fraction form
    1,106.98/1,661.10 = 414.13/x
  3. Step 3: Cross multiply
    1,106.98x = 1,661.10 × 414.13
  4. Step 4: Simplify right side
    1,106.98x = 687,907.19
  5. Step 5: Solve for x
    x = 687,907.19/1,106.98
  6. Step 6: Final answer
    x = 621.43

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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.