Home / 1,653.99-2,282.61-946.05

Finding the Fourth Proportional to 1,653.99, 2,282.61 and 946.05

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Solution

The fourth proportional to 1,653.99, 2,282.61 and 946.05 is: 1,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.99 : 2,282.61 = 946.05 : x
  2. Step 2: Convert to fraction form
    1,653.99/2,282.61 = 946.05/x
  3. Step 3: Cross multiply
    1,653.99x = 2,282.61 × 946.05
  4. Step 4: Simplify right side
    1,653.99x = 2,159,465.70
  5. Step 5: Solve for x
    x = 2,159,465.70/1,653.99
  6. Step 6: Final answer
    x = 1,305.61

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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.