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Finding the Fourth Proportional to 1,986.25, 2,979.08 and 525.51

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Solution

The fourth proportional to 1,986.25, 2,979.08 and 525.51 is: 788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.25 : 2,979.08 = 525.51 : x
  2. Step 2: Convert to fraction form
    1,986.25/2,979.08 = 525.51/x
  3. Step 3: Cross multiply
    1,986.25x = 2,979.08 × 525.51
  4. Step 4: Simplify right side
    1,986.25x = 1,565,536.33
  5. Step 5: Solve for x
    x = 1,565,536.33/1,986.25
  6. Step 6: Final answer
    x = 788.19

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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.