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Finding the Fourth Proportional to 1,508.72, 2,263.08 and 413.09

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Solution

The fourth proportional to 1,508.72, 2,263.08 and 413.09 is: 619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.72 : 2,263.08 = 413.09 : x
  2. Step 2: Convert to fraction form
    1,508.72/2,263.08 = 413.09/x
  3. Step 3: Cross multiply
    1,508.72x = 2,263.08 × 413.09
  4. Step 4: Simplify right side
    1,508.72x = 934,853.65
  5. Step 5: Solve for x
    x = 934,853.65/1,508.72
  6. Step 6: Final answer
    x = 619.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.