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Finding the Fourth Proportional to 1,071.48, 1,606.11 and 413.29

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Solution

The fourth proportional to 1,071.48, 1,606.11 and 413.29 is: 619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.48 : 1,606.11 = 413.29 : x
  2. Step 2: Convert to fraction form
    1,071.48/1,606.11 = 413.29/x
  3. Step 3: Cross multiply
    1,071.48x = 1,606.11 × 413.29
  4. Step 4: Simplify right side
    1,071.48x = 663,789.20
  5. Step 5: Solve for x
    x = 663,789.20/1,071.48
  6. Step 6: Final answer
    x = 619.51

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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.