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Finding the Fourth Proportional to 990.56, 1,493.42 and 977.60

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Solution

The fourth proportional to 990.56, 1,493.42 and 977.60 is: 1,473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.56 : 1,493.42 = 977.60 : x
  2. Step 2: Convert to fraction form
    990.56/1,493.42 = 977.60/x
  3. Step 3: Cross multiply
    990.56x = 1,493.42 × 977.60
  4. Step 4: Simplify right side
    990.56x = 1,459,967.39
  5. Step 5: Solve for x
    x = 1,459,967.39/990.56
  6. Step 6: Final answer
    x = 1,473.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.