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Finding the Fourth Proportional to 1,237.78, 1,707.18 and 795.73

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Solution

The fourth proportional to 1,237.78, 1,707.18 and 795.73 is: 1,097.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.78 : 1,707.18 = 795.73 : x
  2. Step 2: Convert to fraction form
    1,237.78/1,707.18 = 795.73/x
  3. Step 3: Cross multiply
    1,237.78x = 1,707.18 × 795.73
  4. Step 4: Simplify right side
    1,237.78x = 1,358,454.34
  5. Step 5: Solve for x
    x = 1,358,454.34/1,237.78
  6. Step 6: Final answer
    x = 1,097.49

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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.