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Finding the Fourth Proportional to 419.75, 627.32 and 386.91

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Solution

The fourth proportional to 419.75, 627.32 and 386.91 is: 578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.75 : 627.32 = 386.91 : x
  2. Step 2: Convert to fraction form
    419.75/627.32 = 386.91/x
  3. Step 3: Cross multiply
    419.75x = 627.32 × 386.91
  4. Step 4: Simplify right side
    419.75x = 242,716.26
  5. Step 5: Solve for x
    x = 242,716.26/419.75
  6. Step 6: Final answer
    x = 578.24

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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.