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Finding the Fourth Proportional to 421.46, 627.49 and 415.39

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Solution

The fourth proportional to 421.46, 627.49 and 415.39 is: 618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.46 : 627.49 = 415.39 : x
  2. Step 2: Convert to fraction form
    421.46/627.49 = 415.39/x
  3. Step 3: Cross multiply
    421.46x = 627.49 × 415.39
  4. Step 4: Simplify right side
    421.46x = 260,653.07
  5. Step 5: Solve for x
    x = 260,653.07/421.46
  6. Step 6: Final answer
    x = 618.45

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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.