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Finding the Fourth Proportional to 401.75, 598.68 and 388.70

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Solution

The fourth proportional to 401.75, 598.68 and 388.70 is: 579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.75 : 598.68 = 388.70 : x
  2. Step 2: Convert to fraction form
    401.75/598.68 = 388.70/x
  3. Step 3: Cross multiply
    401.75x = 598.68 × 388.70
  4. Step 4: Simplify right side
    401.75x = 232,706.92
  5. Step 5: Solve for x
    x = 232,706.92/401.75
  6. Step 6: Final answer
    x = 579.23

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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.