Home / 1,022.02-1,410.79-649.20

Finding the Fourth Proportional to 1,022.02, 1,410.79 and 649.20

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Solution

The fourth proportional to 1,022.02, 1,410.79 and 649.20 is: 896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.02 : 1,410.79 = 649.20 : x
  2. Step 2: Convert to fraction form
    1,022.02/1,410.79 = 649.20/x
  3. Step 3: Cross multiply
    1,022.02x = 1,410.79 × 649.20
  4. Step 4: Simplify right side
    1,022.02x = 915,890.97
  5. Step 5: Solve for x
    x = 915,890.97/1,022.02
  6. Step 6: Final answer
    x = 896.16

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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.