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Finding the Fourth Proportional to 427.19, 636.93 and 416.56

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Solution

The fourth proportional to 427.19, 636.93 and 416.56 is: 621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.19 : 636.93 = 416.56 : x
  2. Step 2: Convert to fraction form
    427.19/636.93 = 416.56/x
  3. Step 3: Cross multiply
    427.19x = 636.93 × 416.56
  4. Step 4: Simplify right side
    427.19x = 265,316.38
  5. Step 5: Solve for x
    x = 265,316.38/427.19
  6. Step 6: Final answer
    x = 621.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.