Home / 1,022.23-1,533.41-291.81

Finding the Fourth Proportional to 1,022.23, 1,533.41 and 291.81

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Solution

The fourth proportional to 1,022.23, 1,533.41 and 291.81 is: 437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.23 : 1,533.41 = 291.81 : x
  2. Step 2: Convert to fraction form
    1,022.23/1,533.41 = 291.81/x
  3. Step 3: Cross multiply
    1,022.23x = 1,533.41 × 291.81
  4. Step 4: Simplify right side
    1,022.23x = 447,465.10
  5. Step 5: Solve for x
    x = 447,465.10/1,022.23
  6. Step 6: Final answer
    x = 437.74

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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.