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Finding the Fourth Proportional to 1,217.07, 1,826.28 and 852.30

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Solution

The fourth proportional to 1,217.07, 1,826.28 and 852.30 is: 1,278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.07 : 1,826.28 = 852.30 : x
  2. Step 2: Convert to fraction form
    1,217.07/1,826.28 = 852.30/x
  3. Step 3: Cross multiply
    1,217.07x = 1,826.28 × 852.30
  4. Step 4: Simplify right side
    1,217.07x = 1,556,538.44
  5. Step 5: Solve for x
    x = 1,556,538.44/1,217.07
  6. Step 6: Final answer
    x = 1,278.92

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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.