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Finding the Fourth Proportional to 1,609.17, 2,413.75 and 439.17

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Solution

The fourth proportional to 1,609.17, 2,413.75 and 439.17 is: 658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.17 : 2,413.75 = 439.17 : x
  2. Step 2: Convert to fraction form
    1,609.17/2,413.75 = 439.17/x
  3. Step 3: Cross multiply
    1,609.17x = 2,413.75 × 439.17
  4. Step 4: Simplify right side
    1,609.17x = 1,060,050.84
  5. Step 5: Solve for x
    x = 1,060,050.84/1,609.17
  6. Step 6: Final answer
    x = 658.76

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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.