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Finding the Fourth Proportional to 1,022.93, 1,534.63 and 406.67

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Solution

The fourth proportional to 1,022.93, 1,534.63 and 406.67 is: 610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.93 : 1,534.63 = 406.67 : x
  2. Step 2: Convert to fraction form
    1,022.93/1,534.63 = 406.67/x
  3. Step 3: Cross multiply
    1,022.93x = 1,534.63 × 406.67
  4. Step 4: Simplify right side
    1,022.93x = 624,079.29
  5. Step 5: Solve for x
    x = 624,079.29/1,022.93
  6. Step 6: Final answer
    x = 610.09

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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.