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Finding the Fourth Proportional to 1,022.88, 1,534.92 and 633.12

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Solution

The fourth proportional to 1,022.88, 1,534.92 and 633.12 is: 950.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.88 : 1,534.92 = 633.12 : x
  2. Step 2: Convert to fraction form
    1,022.88/1,534.92 = 633.12/x
  3. Step 3: Cross multiply
    1,022.88x = 1,534.92 × 633.12
  4. Step 4: Simplify right side
    1,022.88x = 971,788.55
  5. Step 5: Solve for x
    x = 971,788.55/1,022.88
  6. Step 6: Final answer
    x = 950.05

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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.