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Finding the Fourth Proportional to 1,986.70, 2,979.72 and 525.94

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Solution

The fourth proportional to 1,986.70, 2,979.72 and 525.94 is: 788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.70 : 2,979.72 = 525.94 : x
  2. Step 2: Convert to fraction form
    1,986.70/2,979.72 = 525.94/x
  3. Step 3: Cross multiply
    1,986.70x = 2,979.72 × 525.94
  4. Step 4: Simplify right side
    1,986.70x = 1,567,153.94
  5. Step 5: Solve for x
    x = 1,567,153.94/1,986.70
  6. Step 6: Final answer
    x = 788.82

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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.