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Finding the Fourth Proportional to 1,022.71, 1,534.42 and 406.60

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Solution

The fourth proportional to 1,022.71, 1,534.42 and 406.60 is: 610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.71 : 1,534.42 = 406.60 : x
  2. Step 2: Convert to fraction form
    1,022.71/1,534.42 = 406.60/x
  3. Step 3: Cross multiply
    1,022.71x = 1,534.42 × 406.60
  4. Step 4: Simplify right side
    1,022.71x = 623,895.17
  5. Step 5: Solve for x
    x = 623,895.17/1,022.71
  6. Step 6: Final answer
    x = 610.04

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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.