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Finding the Fourth Proportional to 1,580.69, 2,369.44 and 654.97

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Solution

The fourth proportional to 1,580.69, 2,369.44 and 654.97 is: 981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.69 : 2,369.44 = 654.97 : x
  2. Step 2: Convert to fraction form
    1,580.69/2,369.44 = 654.97/x
  3. Step 3: Cross multiply
    1,580.69x = 2,369.44 × 654.97
  4. Step 4: Simplify right side
    1,580.69x = 1,551,912.12
  5. Step 5: Solve for x
    x = 1,551,912.12/1,580.69
  6. Step 6: Final answer
    x = 981.79

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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.