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Finding the Fourth Proportional to 1,402.00, 2,102.92 and 428.06

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Solution

The fourth proportional to 1,402.00, 2,102.92 and 428.06 is: 642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.00 : 2,102.92 = 428.06 : x
  2. Step 2: Convert to fraction form
    1,402.00/2,102.92 = 428.06/x
  3. Step 3: Cross multiply
    1,402.00x = 2,102.92 × 428.06
  4. Step 4: Simplify right side
    1,402.00x = 900,180.12
  5. Step 5: Solve for x
    x = 900,180.12/1,402.00
  6. Step 6: Final answer
    x = 642.07

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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.