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Finding the Fourth Proportional to 1,018.22, 1,405.01 and 625.14

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Solution

The fourth proportional to 1,018.22, 1,405.01 and 625.14 is: 862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.22 : 1,405.01 = 625.14 : x
  2. Step 2: Convert to fraction form
    1,018.22/1,405.01 = 625.14/x
  3. Step 3: Cross multiply
    1,018.22x = 1,405.01 × 625.14
  4. Step 4: Simplify right side
    1,018.22x = 878,327.95
  5. Step 5: Solve for x
    x = 878,327.95/1,018.22
  6. Step 6: Final answer
    x = 862.61

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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.