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Finding the Fourth Proportional to 1,065.26, 1,460.89 and 1,020.92

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Solution

The fourth proportional to 1,065.26, 1,460.89 and 1,020.92 is: 1,400.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.26 : 1,460.89 = 1,020.92 : x
  2. Step 2: Convert to fraction form
    1,065.26/1,460.89 = 1,020.92/x
  3. Step 3: Cross multiply
    1,065.26x = 1,460.89 × 1,020.92
  4. Step 4: Simplify right side
    1,065.26x = 1,491,441.96
  5. Step 5: Solve for x
    x = 1,491,441.96/1,065.26
  6. Step 6: Final answer
    x = 1,400.07

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.