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Finding the Fourth Proportional to 1,402.71, 2,104.06 and 428.81

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Solution

The fourth proportional to 1,402.71, 2,104.06 and 428.81 is: 643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.71 : 2,104.06 = 428.81 : x
  2. Step 2: Convert to fraction form
    1,402.71/2,104.06 = 428.81/x
  3. Step 3: Cross multiply
    1,402.71x = 2,104.06 × 428.81
  4. Step 4: Simplify right side
    1,402.71x = 902,231.45
  5. Step 5: Solve for x
    x = 902,231.45/1,402.71
  6. Step 6: Final answer
    x = 643.21

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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.