Home / 1,022.15-1,525.70-949.92

Finding the Fourth Proportional to 1,022.15, 1,525.70 and 949.92

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Solution

The fourth proportional to 1,022.15, 1,525.70 and 949.92 is: 1,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.15 : 1,525.70 = 949.92 : x
  2. Step 2: Convert to fraction form
    1,022.15/1,525.70 = 949.92/x
  3. Step 3: Cross multiply
    1,022.15x = 1,525.70 × 949.92
  4. Step 4: Simplify right side
    1,022.15x = 1,449,288.19
  5. Step 5: Solve for x
    x = 1,449,288.19/1,022.15
  6. Step 6: Final answer
    x = 1,417.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.