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Finding the Fourth Proportional to 1,988.70, 2,984.07 and 819.57

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Solution

The fourth proportional to 1,988.70, 2,984.07 and 819.57 is: 1,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.70 : 2,984.07 = 819.57 : x
  2. Step 2: Convert to fraction form
    1,988.70/2,984.07 = 819.57/x
  3. Step 3: Cross multiply
    1,988.70x = 2,984.07 × 819.57
  4. Step 4: Simplify right side
    1,988.70x = 2,445,643.34
  5. Step 5: Solve for x
    x = 2,445,643.34/1,988.70
  6. Step 6: Final answer
    x = 1,229.77

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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.