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Finding the Fourth Proportional to 1,302.78, 1,952.11 and 890.50

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Solution

The fourth proportional to 1,302.78, 1,952.11 and 890.50 is: 1,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.78 : 1,952.11 = 890.50 : x
  2. Step 2: Convert to fraction form
    1,302.78/1,952.11 = 890.50/x
  3. Step 3: Cross multiply
    1,302.78x = 1,952.11 × 890.50
  4. Step 4: Simplify right side
    1,302.78x = 1,738,353.96
  5. Step 5: Solve for x
    x = 1,738,353.96/1,302.78
  6. Step 6: Final answer
    x = 1,334.34

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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.