Home / 1,022.96-1,534.40-292.56

Finding the Fourth Proportional to 1,022.96, 1,534.40 and 292.56

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Solution

The fourth proportional to 1,022.96, 1,534.40 and 292.56 is: 438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.96 : 1,534.40 = 292.56 : x
  2. Step 2: Convert to fraction form
    1,022.96/1,534.40 = 292.56/x
  3. Step 3: Cross multiply
    1,022.96x = 1,534.40 × 292.56
  4. Step 4: Simplify right side
    1,022.96x = 448,904.06
  5. Step 5: Solve for x
    x = 448,904.06/1,022.96
  6. Step 6: Final answer
    x = 438.83

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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.