Home / 1,029.27-1,421.78-980.67

Finding the Fourth Proportional to 1,029.27, 1,421.78 and 980.67

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Solution

The fourth proportional to 1,029.27, 1,421.78 and 980.67 is: 1,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.27 : 1,421.78 = 980.67 : x
  2. Step 2: Convert to fraction form
    1,029.27/1,421.78 = 980.67/x
  3. Step 3: Cross multiply
    1,029.27x = 1,421.78 × 980.67
  4. Step 4: Simplify right side
    1,029.27x = 1,394,292.09
  5. Step 5: Solve for x
    x = 1,394,292.09/1,029.27
  6. Step 6: Final answer
    x = 1,354.64

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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.