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Finding the Fourth Proportional to 1,374.96, 1,897.47 and 745.51

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Solution

The fourth proportional to 1,374.96, 1,897.47 and 745.51 is: 1,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.96 : 1,897.47 = 745.51 : x
  2. Step 2: Convert to fraction form
    1,374.96/1,897.47 = 745.51/x
  3. Step 3: Cross multiply
    1,374.96x = 1,897.47 × 745.51
  4. Step 4: Simplify right side
    1,374.96x = 1,414,579.13
  5. Step 5: Solve for x
    x = 1,414,579.13/1,374.96
  6. Step 6: Final answer
    x = 1,028.82

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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.