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Finding the Fourth Proportional to 1,402.68, 2,103.94 and 428.71

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Solution

The fourth proportional to 1,402.68, 2,103.94 and 428.71 is: 643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.68 : 2,103.94 = 428.71 : x
  2. Step 2: Convert to fraction form
    1,402.68/2,103.94 = 428.71/x
  3. Step 3: Cross multiply
    1,402.68x = 2,103.94 × 428.71
  4. Step 4: Simplify right side
    1,402.68x = 901,969.60
  5. Step 5: Solve for x
    x = 901,969.60/1,402.68
  6. Step 6: Final answer
    x = 643.03

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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.