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Finding the Fourth Proportional to 1,213.18, 1,819.78 and 970.18

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Solution

The fourth proportional to 1,213.18, 1,819.78 and 970.18 is: 1,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.18 : 1,819.78 = 970.18 : x
  2. Step 2: Convert to fraction form
    1,213.18/1,819.78 = 970.18/x
  3. Step 3: Cross multiply
    1,213.18x = 1,819.78 × 970.18
  4. Step 4: Simplify right side
    1,213.18x = 1,765,514.16
  5. Step 5: Solve for x
    x = 1,765,514.16/1,213.18
  6. Step 6: Final answer
    x = 1,455.28

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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.