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Finding the Fourth Proportional to 961.37, 1,442.77 and 413.93

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Solution

The fourth proportional to 961.37, 1,442.77 and 413.93 is: 621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.37 : 1,442.77 = 413.93 : x
  2. Step 2: Convert to fraction form
    961.37/1,442.77 = 413.93/x
  3. Step 3: Cross multiply
    961.37x = 1,442.77 × 413.93
  4. Step 4: Simplify right side
    961.37x = 597,208.36
  5. Step 5: Solve for x
    x = 597,208.36/961.37
  6. Step 6: Final answer
    x = 621.21

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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.