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Finding the Fourth Proportional to 1,367.28, 2,051.10 and 442.53

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Solution

The fourth proportional to 1,367.28, 2,051.10 and 442.53 is: 663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.28 : 2,051.10 = 442.53 : x
  2. Step 2: Convert to fraction form
    1,367.28/2,051.10 = 442.53/x
  3. Step 3: Cross multiply
    1,367.28x = 2,051.10 × 442.53
  4. Step 4: Simplify right side
    1,367.28x = 907,673.28
  5. Step 5: Solve for x
    x = 907,673.28/1,367.28
  6. Step 6: Final answer
    x = 663.85

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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.