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Finding the Fourth Proportional to 1,524.74, 2,290.78 and 978

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Solution

The fourth proportional to 1,524.74, 2,290.78 and 978 is: 1,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.74 : 2,290.78 = 978 : x
  2. Step 2: Convert to fraction form
    1,524.74/2,290.78 = 978/x
  3. Step 3: Cross multiply
    1,524.74x = 2,290.78 × 978
  4. Step 4: Simplify right side
    1,524.74x = 2,240,382.84
  5. Step 5: Solve for x
    x = 2,240,382.84/1,524.74
  6. Step 6: Final answer
    x = 1,469.35

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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.