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Finding the Fourth Proportional to 986.02, 1,476.28 and 638.49

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Solution

The fourth proportional to 986.02, 1,476.28 and 638.49 is: 955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.02 : 1,476.28 = 638.49 : x
  2. Step 2: Convert to fraction form
    986.02/1,476.28 = 638.49/x
  3. Step 3: Cross multiply
    986.02x = 1,476.28 × 638.49
  4. Step 4: Simplify right side
    986.02x = 942,588.61
  5. Step 5: Solve for x
    x = 942,588.61/986.02
  6. Step 6: Final answer
    x = 955.95

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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.