Home / 1,284.09-1,924.58-589.79

Finding the Fourth Proportional to 1,284.09, 1,924.58 and 589.79

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Solution

The fourth proportional to 1,284.09, 1,924.58 and 589.79 is: 883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.09 : 1,924.58 = 589.79 : x
  2. Step 2: Convert to fraction form
    1,284.09/1,924.58 = 589.79/x
  3. Step 3: Cross multiply
    1,284.09x = 1,924.58 × 589.79
  4. Step 4: Simplify right side
    1,284.09x = 1,135,085.47
  5. Step 5: Solve for x
    x = 1,135,085.47/1,284.09
  6. Step 6: Final answer
    x = 883.96

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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.