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Finding the Fourth Proportional to 454.78, 685.87 and 419.14

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Solution

The fourth proportional to 454.78, 685.87 and 419.14 is: 632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.78 : 685.87 = 419.14 : x
  2. Step 2: Convert to fraction form
    454.78/685.87 = 419.14/x
  3. Step 3: Cross multiply
    454.78x = 685.87 × 419.14
  4. Step 4: Simplify right side
    454.78x = 287,475.55
  5. Step 5: Solve for x
    x = 287,475.55/454.78
  6. Step 6: Final answer
    x = 632.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.