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Finding the Fourth Proportional to 462.44, 693.05 and 413.40

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Solution

The fourth proportional to 462.44, 693.05 and 413.40 is: 619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.44 : 693.05 = 413.40 : x
  2. Step 2: Convert to fraction form
    462.44/693.05 = 413.40/x
  3. Step 3: Cross multiply
    462.44x = 693.05 × 413.40
  4. Step 4: Simplify right side
    462.44x = 286,506.87
  5. Step 5: Solve for x
    x = 286,506.87/462.44
  6. Step 6: Final answer
    x = 619.56

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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.