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Finding the Fourth Proportional to 1,023.16, 1,534.65 and 633.22

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Solution

The fourth proportional to 1,023.16, 1,534.65 and 633.22 is: 949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.16 : 1,534.65 = 633.22 : x
  2. Step 2: Convert to fraction form
    1,023.16/1,534.65 = 633.22/x
  3. Step 3: Cross multiply
    1,023.16x = 1,534.65 × 633.22
  4. Step 4: Simplify right side
    1,023.16x = 971,764.86
  5. Step 5: Solve for x
    x = 971,764.86/1,023.16
  6. Step 6: Final answer
    x = 949.77

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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.