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Finding the Fourth Proportional to 415.68, 618.62 and 401.84

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Solution

The fourth proportional to 415.68, 618.62 and 401.84 is: 598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.68 : 618.62 = 401.84 : x
  2. Step 2: Convert to fraction form
    415.68/618.62 = 401.84/x
  3. Step 3: Cross multiply
    415.68x = 618.62 × 401.84
  4. Step 4: Simplify right side
    415.68x = 248,584.25
  5. Step 5: Solve for x
    x = 248,584.25/415.68
  6. Step 6: Final answer
    x = 598.01

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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.