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Finding the Fourth Proportional to 1,023.68, 1,534.08 and 445.34

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Solution

The fourth proportional to 1,023.68, 1,534.08 and 445.34 is: 667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.68 : 1,534.08 = 445.34 : x
  2. Step 2: Convert to fraction form
    1,023.68/1,534.08 = 445.34/x
  3. Step 3: Cross multiply
    1,023.68x = 1,534.08 × 445.34
  4. Step 4: Simplify right side
    1,023.68x = 683,187.19
  5. Step 5: Solve for x
    x = 683,187.19/1,023.68
  6. Step 6: Final answer
    x = 667.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.