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Finding the Fourth Proportional to 1,283.84, 1,924.98 and 589.64

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Solution

The fourth proportional to 1,283.84, 1,924.98 and 589.64 is: 884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.84 : 1,924.98 = 589.64 : x
  2. Step 2: Convert to fraction form
    1,283.84/1,924.98 = 589.64/x
  3. Step 3: Cross multiply
    1,283.84x = 1,924.98 × 589.64
  4. Step 4: Simplify right side
    1,283.84x = 1,135,033.37
  5. Step 5: Solve for x
    x = 1,135,033.37/1,283.84
  6. Step 6: Final answer
    x = 884.09

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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.