Home / 1,022.10-1,410.56-580.14

Finding the Fourth Proportional to 1,022.10, 1,410.56 and 580.14

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Solution

The fourth proportional to 1,022.10, 1,410.56 and 580.14 is: 800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.10 : 1,410.56 = 580.14 : x
  2. Step 2: Convert to fraction form
    1,022.10/1,410.56 = 580.14/x
  3. Step 3: Cross multiply
    1,022.10x = 1,410.56 × 580.14
  4. Step 4: Simplify right side
    1,022.10x = 818,319.38
  5. Step 5: Solve for x
    x = 818,319.38/1,022.10
  6. Step 6: Final answer
    x = 800.63

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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.