Home / 1,022.70-1,534.29-292.26

Finding the Fourth Proportional to 1,022.70, 1,534.29 and 292.26

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Solution

The fourth proportional to 1,022.70, 1,534.29 and 292.26 is: 438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.70 : 1,534.29 = 292.26 : x
  2. Step 2: Convert to fraction form
    1,022.70/1,534.29 = 292.26/x
  3. Step 3: Cross multiply
    1,022.70x = 1,534.29 × 292.26
  4. Step 4: Simplify right side
    1,022.70x = 448,409.27
  5. Step 5: Solve for x
    x = 448,409.27/1,022.70
  6. Step 6: Final answer
    x = 438.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.