Home / 1,022.12-1,410.51-580.04

Finding the Fourth Proportional to 1,022.12, 1,410.51 and 580.04

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Solution

The fourth proportional to 1,022.12, 1,410.51 and 580.04 is: 800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.12 : 1,410.51 = 580.04 : x
  2. Step 2: Convert to fraction form
    1,022.12/1,410.51 = 580.04/x
  3. Step 3: Cross multiply
    1,022.12x = 1,410.51 × 580.04
  4. Step 4: Simplify right side
    1,022.12x = 818,152.22
  5. Step 5: Solve for x
    x = 818,152.22/1,022.12
  6. Step 6: Final answer
    x = 800.45

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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.