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Finding the Fourth Proportional to 846.69, 1,270.17 and 413.88

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Solution

The fourth proportional to 846.69, 1,270.17 and 413.88 is: 620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.69 : 1,270.17 = 413.88 : x
  2. Step 2: Convert to fraction form
    846.69/1,270.17 = 413.88/x
  3. Step 3: Cross multiply
    846.69x = 1,270.17 × 413.88
  4. Step 4: Simplify right side
    846.69x = 525,697.96
  5. Step 5: Solve for x
    x = 525,697.96/846.69
  6. Step 6: Final answer
    x = 620.89

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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.