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Finding the Fourth Proportional to 1,022.36, 1,533.78 and 291.92

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Solution

The fourth proportional to 1,022.36, 1,533.78 and 291.92 is: 437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.36 : 1,533.78 = 291.92 : x
  2. Step 2: Convert to fraction form
    1,022.36/1,533.78 = 291.92/x
  3. Step 3: Cross multiply
    1,022.36x = 1,533.78 × 291.92
  4. Step 4: Simplify right side
    1,022.36x = 447,741.06
  5. Step 5: Solve for x
    x = 447,741.06/1,022.36
  6. Step 6: Final answer
    x = 437.95

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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.