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Finding the Fourth Proportional to 1,402.13, 2,103.53 and 428.23

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Solution

The fourth proportional to 1,402.13, 2,103.53 and 428.23 is: 642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.13 : 2,103.53 = 428.23 : x
  2. Step 2: Convert to fraction form
    1,402.13/2,103.53 = 428.23/x
  3. Step 3: Cross multiply
    1,402.13x = 2,103.53 × 428.23
  4. Step 4: Simplify right side
    1,402.13x = 900,790.46
  5. Step 5: Solve for x
    x = 900,790.46/1,402.13
  6. Step 6: Final answer
    x = 642.44

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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.