Home / 1,022.52-1,534.50-406.11

Finding the Fourth Proportional to 1,022.52, 1,534.50 and 406.11

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Solution

The fourth proportional to 1,022.52, 1,534.50 and 406.11 is: 609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.52 : 1,534.50 = 406.11 : x
  2. Step 2: Convert to fraction form
    1,022.52/1,534.50 = 406.11/x
  3. Step 3: Cross multiply
    1,022.52x = 1,534.50 × 406.11
  4. Step 4: Simplify right side
    1,022.52x = 623,175.80
  5. Step 5: Solve for x
    x = 623,175.80/1,022.52
  6. Step 6: Final answer
    x = 609.45

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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.