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Finding the Fourth Proportional to 1,594.98, 2,201.40 and 1,005.12

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Solution

The fourth proportional to 1,594.98, 2,201.40 and 1,005.12 is: 1,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.98 : 2,201.40 = 1,005.12 : x
  2. Step 2: Convert to fraction form
    1,594.98/2,201.40 = 1,005.12/x
  3. Step 3: Cross multiply
    1,594.98x = 2,201.40 × 1,005.12
  4. Step 4: Simplify right side
    1,594.98x = 2,212,671.17
  5. Step 5: Solve for x
    x = 2,212,671.17/1,594.98
  6. Step 6: Final answer
    x = 1,387.27

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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.