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Finding the Fourth Proportional to 1,022.30, 1,410.90 and 580.28

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Solution

The fourth proportional to 1,022.30, 1,410.90 and 580.28 is: 800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.30 : 1,410.90 = 580.28 : x
  2. Step 2: Convert to fraction form
    1,022.30/1,410.90 = 580.28/x
  3. Step 3: Cross multiply
    1,022.30x = 1,410.90 × 580.28
  4. Step 4: Simplify right side
    1,022.30x = 818,717.05
  5. Step 5: Solve for x
    x = 818,717.05/1,022.30
  6. Step 6: Final answer
    x = 800.86

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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.