Home / 1,022.27-1,410.38-707.41

Finding the Fourth Proportional to 1,022.27, 1,410.38 and 707.41

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Solution

The fourth proportional to 1,022.27, 1,410.38 and 707.41 is: 975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.27 : 1,410.38 = 707.41 : x
  2. Step 2: Convert to fraction form
    1,022.27/1,410.38 = 707.41/x
  3. Step 3: Cross multiply
    1,022.27x = 1,410.38 × 707.41
  4. Step 4: Simplify right side
    1,022.27x = 997,716.92
  5. Step 5: Solve for x
    x = 997,716.92/1,022.27
  6. Step 6: Final answer
    x = 975.98

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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.