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Finding the Fourth Proportional to 493.93, 744.27 and 409.16

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Solution

The fourth proportional to 493.93, 744.27 and 409.16 is: 616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.93 : 744.27 = 409.16 : x
  2. Step 2: Convert to fraction form
    493.93/744.27 = 409.16/x
  3. Step 3: Cross multiply
    493.93x = 744.27 × 409.16
  4. Step 4: Simplify right side
    493.93x = 304,525.51
  5. Step 5: Solve for x
    x = 304,525.51/493.93
  6. Step 6: Final answer
    x = 616.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.