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Finding the Fourth Proportional to 883.50, 1,219.27 and 490.51

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Solution

The fourth proportional to 883.50, 1,219.27 and 490.51 is: 676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.50 : 1,219.27 = 490.51 : x
  2. Step 2: Convert to fraction form
    883.50/1,219.27 = 490.51/x
  3. Step 3: Cross multiply
    883.50x = 1,219.27 × 490.51
  4. Step 4: Simplify right side
    883.50x = 598,064.13
  5. Step 5: Solve for x
    x = 598,064.13/883.50
  6. Step 6: Final answer
    x = 676.93

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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.