Home / 1,022.36-1,410.48-649.22

Finding the Fourth Proportional to 1,022.36, 1,410.48 and 649.22

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Solution

The fourth proportional to 1,022.36, 1,410.48 and 649.22 is: 895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.36 : 1,410.48 = 649.22 : x
  2. Step 2: Convert to fraction form
    1,022.36/1,410.48 = 649.22/x
  3. Step 3: Cross multiply
    1,022.36x = 1,410.48 × 649.22
  4. Step 4: Simplify right side
    1,022.36x = 915,711.83
  5. Step 5: Solve for x
    x = 915,711.83/1,022.36
  6. Step 6: Final answer
    x = 895.68

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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.