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Finding the Fourth Proportional to 1,021.32, 1,408.97 and 784.85

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Solution

The fourth proportional to 1,021.32, 1,408.97 and 784.85 is: 1,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.32 : 1,408.97 = 784.85 : x
  2. Step 2: Convert to fraction form
    1,021.32/1,408.97 = 784.85/x
  3. Step 3: Cross multiply
    1,021.32x = 1,408.97 × 784.85
  4. Step 4: Simplify right side
    1,021.32x = 1,105,819.14
  5. Step 5: Solve for x
    x = 1,105,819.14/1,021.32
  6. Step 6: Final answer
    x = 1,082.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.