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Finding the Fourth Proportional to 1,335.17, 1,842.36 and 745.73

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Solution

The fourth proportional to 1,335.17, 1,842.36 and 745.73 is: 1,029.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.17 : 1,842.36 = 745.73 : x
  2. Step 2: Convert to fraction form
    1,335.17/1,842.36 = 745.73/x
  3. Step 3: Cross multiply
    1,335.17x = 1,842.36 × 745.73
  4. Step 4: Simplify right side
    1,335.17x = 1,373,890.18
  5. Step 5: Solve for x
    x = 1,373,890.18/1,335.17
  6. Step 6: Final answer
    x = 1,029.00

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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.