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Finding the Fourth Proportional to 1,015.43, 1,400.90 and 641.75

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Solution

The fourth proportional to 1,015.43, 1,400.90 and 641.75 is: 885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.43 : 1,400.90 = 641.75 : x
  2. Step 2: Convert to fraction form
    1,015.43/1,400.90 = 641.75/x
  3. Step 3: Cross multiply
    1,015.43x = 1,400.90 × 641.75
  4. Step 4: Simplify right side
    1,015.43x = 899,017.36
  5. Step 5: Solve for x
    x = 899,017.36/1,015.43
  6. Step 6: Final answer
    x = 885.36

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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.