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Finding the Fourth Proportional to 649.67, 974.75 and 419.00

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Solution

The fourth proportional to 649.67, 974.75 and 419.00 is: 628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.67 : 974.75 = 419.00 : x
  2. Step 2: Convert to fraction form
    649.67/974.75 = 419.00/x
  3. Step 3: Cross multiply
    649.67x = 974.75 × 419.00
  4. Step 4: Simplify right side
    649.67x = 408,413.28
  5. Step 5: Solve for x
    x = 408,413.28/649.67
  6. Step 6: Final answer
    x = 628.65

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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.