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Finding the Fourth Proportional to 986.56, 1,476.72 and 552.40

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Solution

The fourth proportional to 986.56, 1,476.72 and 552.40 is: 826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.56 : 1,476.72 = 552.40 : x
  2. Step 2: Convert to fraction form
    986.56/1,476.72 = 552.40/x
  3. Step 3: Cross multiply
    986.56x = 1,476.72 × 552.40
  4. Step 4: Simplify right side
    986.56x = 815,740.13
  5. Step 5: Solve for x
    x = 815,740.13/986.56
  6. Step 6: Final answer
    x = 826.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.