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Finding the Fourth Proportional to 1,022.40, 1,410.40 and 649.28

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Solution

The fourth proportional to 1,022.40, 1,410.40 and 649.28 is: 895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.40 : 1,410.40 = 649.28 : x
  2. Step 2: Convert to fraction form
    1,022.40/1,410.40 = 649.28/x
  3. Step 3: Cross multiply
    1,022.40x = 1,410.40 × 649.28
  4. Step 4: Simplify right side
    1,022.40x = 915,744.51
  5. Step 5: Solve for x
    x = 915,744.51/1,022.40
  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.