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Finding the Fourth Proportional to 986.77, 1,480.33 and 409.63

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Solution

The fourth proportional to 986.77, 1,480.33 and 409.63 is: 614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.77 : 1,480.33 = 409.63 : x
  2. Step 2: Convert to fraction form
    986.77/1,480.33 = 409.63/x
  3. Step 3: Cross multiply
    986.77x = 1,480.33 × 409.63
  4. Step 4: Simplify right side
    986.77x = 606,379.15
  5. Step 5: Solve for x
    x = 606,379.15/986.77
  6. Step 6: Final answer
    x = 614.51

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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.