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Finding the Fourth Proportional to 450.63, 625.05 and 434.23

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Solution

The fourth proportional to 450.63, 625.05 and 434.23 is: 602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.63 : 625.05 = 434.23 : x
  2. Step 2: Convert to fraction form
    450.63/625.05 = 434.23/x
  3. Step 3: Cross multiply
    450.63x = 625.05 × 434.23
  4. Step 4: Simplify right side
    450.63x = 271,413.90
  5. Step 5: Solve for x
    x = 271,413.90/450.63
  6. Step 6: Final answer
    x = 602.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.