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Finding the Fourth Proportional to 1,022.78, 1,533.62 and 406.46

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Solution

The fourth proportional to 1,022.78, 1,533.62 and 406.46 is: 609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.78 : 1,533.62 = 406.46 : x
  2. Step 2: Convert to fraction form
    1,022.78/1,533.62 = 406.46/x
  3. Step 3: Cross multiply
    1,022.78x = 1,533.62 × 406.46
  4. Step 4: Simplify right side
    1,022.78x = 623,355.19
  5. Step 5: Solve for x
    x = 623,355.19/1,022.78
  6. Step 6: Final answer
    x = 609.47

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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.