Home / 1,020.29-1,529.91-946.17

Finding the Fourth Proportional to 1,020.29, 1,529.91 and 946.17

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Solution

The fourth proportional to 1,020.29, 1,529.91 and 946.17 is: 1,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.29 : 1,529.91 = 946.17 : x
  2. Step 2: Convert to fraction form
    1,020.29/1,529.91 = 946.17/x
  3. Step 3: Cross multiply
    1,020.29x = 1,529.91 × 946.17
  4. Step 4: Simplify right side
    1,020.29x = 1,447,554.94
  5. Step 5: Solve for x
    x = 1,447,554.94/1,020.29
  6. Step 6: Final answer
    x = 1,418.78

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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.