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Finding the Fourth Proportional to 465.40, 694.50 and 413.63

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Solution

The fourth proportional to 465.40, 694.50 and 413.63 is: 617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.40 : 694.50 = 413.63 : x
  2. Step 2: Convert to fraction form
    465.40/694.50 = 413.63/x
  3. Step 3: Cross multiply
    465.40x = 694.50 × 413.63
  4. Step 4: Simplify right side
    465.40x = 287,266.04
  5. Step 5: Solve for x
    x = 287,266.04/465.40
  6. Step 6: Final answer
    x = 617.25

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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.