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Finding the Fourth Proportional to 990.96, 1,487.58 and 580.39

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Solution

The fourth proportional to 990.96, 1,487.58 and 580.39 is: 871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.96 : 1,487.58 = 580.39 : x
  2. Step 2: Convert to fraction form
    990.96/1,487.58 = 580.39/x
  3. Step 3: Cross multiply
    990.96x = 1,487.58 × 580.39
  4. Step 4: Simplify right side
    990.96x = 863,376.56
  5. Step 5: Solve for x
    x = 863,376.56/990.96
  6. Step 6: Final answer
    x = 871.25

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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.