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Finding the Fourth Proportional to 1,402.70, 2,103.81 and 415.49

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Solution

The fourth proportional to 1,402.70, 2,103.81 and 415.49 is: 623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.70 : 2,103.81 = 415.49 : x
  2. Step 2: Convert to fraction form
    1,402.70/2,103.81 = 415.49/x
  3. Step 3: Cross multiply
    1,402.70x = 2,103.81 × 415.49
  4. Step 4: Simplify right side
    1,402.70x = 874,116.49
  5. Step 5: Solve for x
    x = 874,116.49/1,402.70
  6. Step 6: Final answer
    x = 623.17

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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.