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Finding the Fourth Proportional to 1,402.42, 2,104.04 and 428.68

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Solution

The fourth proportional to 1,402.42, 2,104.04 and 428.68 is: 643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.42 : 2,104.04 = 428.68 : x
  2. Step 2: Convert to fraction form
    1,402.42/2,104.04 = 428.68/x
  3. Step 3: Cross multiply
    1,402.42x = 2,104.04 × 428.68
  4. Step 4: Simplify right side
    1,402.42x = 901,959.87
  5. Step 5: Solve for x
    x = 901,959.87/1,402.42
  6. Step 6: Final answer
    x = 643.15

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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.