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Finding the Fourth Proportional to 1,628.72, 2,247.63 and 882.70

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Solution

The fourth proportional to 1,628.72, 2,247.63 and 882.70 is: 1,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.72 : 2,247.63 = 882.70 : x
  2. Step 2: Convert to fraction form
    1,628.72/2,247.63 = 882.70/x
  3. Step 3: Cross multiply
    1,628.72x = 2,247.63 × 882.70
  4. Step 4: Simplify right side
    1,628.72x = 1,983,967.35
  5. Step 5: Solve for x
    x = 1,983,967.35/1,628.72
  6. Step 6: Final answer
    x = 1,218.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.