Home / 1,022.32-1,533.45-291.90

Finding the Fourth Proportional to 1,022.32, 1,533.45 and 291.90

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Solution

The fourth proportional to 1,022.32, 1,533.45 and 291.90 is: 437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.32 : 1,533.45 = 291.90 : x
  2. Step 2: Convert to fraction form
    1,022.32/1,533.45 = 291.90/x
  3. Step 3: Cross multiply
    1,022.32x = 1,533.45 × 291.90
  4. Step 4: Simplify right side
    1,022.32x = 447,614.78
  5. Step 5: Solve for x
    x = 447,614.78/1,022.32
  6. Step 6: Final answer
    x = 437.84

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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.