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Finding the Fourth Proportional to 1,983.59, 2,975.30 and 522.71

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Solution

The fourth proportional to 1,983.59, 2,975.30 and 522.71 is: 784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.59 : 2,975.30 = 522.71 : x
  2. Step 2: Convert to fraction form
    1,983.59/2,975.30 = 522.71/x
  3. Step 3: Cross multiply
    1,983.59x = 2,975.30 × 522.71
  4. Step 4: Simplify right side
    1,983.59x = 1,555,219.06
  5. Step 5: Solve for x
    x = 1,555,219.06/1,983.59
  6. Step 6: Final answer
    x = 784.04

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1.5x scale

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.