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Finding the Fourth Proportional to 1,018.17, 1,404.44 and 644.51

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Solution

The fourth proportional to 1,018.17, 1,404.44 and 644.51 is: 889.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.17 : 1,404.44 = 644.51 : x
  2. Step 2: Convert to fraction form
    1,018.17/1,404.44 = 644.51/x
  3. Step 3: Cross multiply
    1,018.17x = 1,404.44 × 644.51
  4. Step 4: Simplify right side
    1,018.17x = 905,175.62
  5. Step 5: Solve for x
    x = 905,175.62/1,018.17
  6. Step 6: Final answer
    x = 889.02

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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.