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Finding the Fourth Proportional to 455.21, 624.63 and 413.63

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Solution

The fourth proportional to 455.21, 624.63 and 413.63 is: 567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.21 : 624.63 = 413.63 : x
  2. Step 2: Convert to fraction form
    455.21/624.63 = 413.63/x
  3. Step 3: Cross multiply
    455.21x = 624.63 × 413.63
  4. Step 4: Simplify right side
    455.21x = 258,362.58
  5. Step 5: Solve for x
    x = 258,362.58/455.21
  6. Step 6: Final answer
    x = 567.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.