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Finding the Fourth Proportional to 1,110.36, 1,665.93 and 494.01

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Solution

The fourth proportional to 1,110.36, 1,665.93 and 494.01 is: 741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.36 : 1,665.93 = 494.01 : x
  2. Step 2: Convert to fraction form
    1,110.36/1,665.93 = 494.01/x
  3. Step 3: Cross multiply
    1,110.36x = 1,665.93 × 494.01
  4. Step 4: Simplify right side
    1,110.36x = 822,986.08
  5. Step 5: Solve for x
    x = 822,986.08/1,110.36
  6. Step 6: Final answer
    x = 741.19

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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.