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Finding the Fourth Proportional to 431.03, 646.49 and 419.48

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Solution

The fourth proportional to 431.03, 646.49 and 419.48 is: 629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.03 : 646.49 = 419.48 : x
  2. Step 2: Convert to fraction form
    431.03/646.49 = 419.48/x
  3. Step 3: Cross multiply
    431.03x = 646.49 × 419.48
  4. Step 4: Simplify right side
    431.03x = 271,184.30
  5. Step 5: Solve for x
    x = 271,184.30/431.03
  6. Step 6: Final answer
    x = 629.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.