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Finding the Fourth Proportional to 1,031.22, 1,544.77 and 620.13

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Solution

The fourth proportional to 1,031.22, 1,544.77 and 620.13 is: 928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.22 : 1,544.77 = 620.13 : x
  2. Step 2: Convert to fraction form
    1,031.22/1,544.77 = 620.13/x
  3. Step 3: Cross multiply
    1,031.22x = 1,544.77 × 620.13
  4. Step 4: Simplify right side
    1,031.22x = 957,964.79
  5. Step 5: Solve for x
    x = 957,964.79/1,031.22
  6. Step 6: Final answer
    x = 928.96

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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.