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Finding the Fourth Proportional to 1,022.36, 1,410.24 and 649.16

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Solution

The fourth proportional to 1,022.36, 1,410.24 and 649.16 is: 895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.36 : 1,410.24 = 649.16 : x
  2. Step 2: Convert to fraction form
    1,022.36/1,410.24 = 649.16/x
  3. Step 3: Cross multiply
    1,022.36x = 1,410.24 × 649.16
  4. Step 4: Simplify right side
    1,022.36x = 915,471.40
  5. Step 5: Solve for x
    x = 915,471.40/1,022.36
  6. Step 6: Final answer
    x = 895.45

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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.