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Finding the Fourth Proportional to 986.14, 1,480.47 and 622.45

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Solution

The fourth proportional to 986.14, 1,480.47 and 622.45 is: 934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.14 : 1,480.47 = 622.45 : x
  2. Step 2: Convert to fraction form
    986.14/1,480.47 = 622.45/x
  3. Step 3: Cross multiply
    986.14x = 1,480.47 × 622.45
  4. Step 4: Simplify right side
    986.14x = 921,518.55
  5. Step 5: Solve for x
    x = 921,518.55/986.14
  6. Step 6: Final answer
    x = 934.47

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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.