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Finding the Fourth Proportional to 1,143.65, 1,715.49 and 413.30

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Solution

The fourth proportional to 1,143.65, 1,715.49 and 413.30 is: 619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.65 : 1,715.49 = 413.30 : x
  2. Step 2: Convert to fraction form
    1,143.65/1,715.49 = 413.30/x
  3. Step 3: Cross multiply
    1,143.65x = 1,715.49 × 413.30
  4. Step 4: Simplify right side
    1,143.65x = 709,016.31
  5. Step 5: Solve for x
    x = 709,016.31/1,143.65
  6. Step 6: Final answer
    x = 619.96

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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.