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Finding the Fourth Proportional to 1,672.58, 2,307.94 and 926.48

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Solution

The fourth proportional to 1,672.58, 2,307.94 and 926.48 is: 1,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.58 : 2,307.94 = 926.48 : x
  2. Step 2: Convert to fraction form
    1,672.58/2,307.94 = 926.48/x
  3. Step 3: Cross multiply
    1,672.58x = 2,307.94 × 926.48
  4. Step 4: Simplify right side
    1,672.58x = 2,138,260.25
  5. Step 5: Solve for x
    x = 2,138,260.25/1,672.58
  6. Step 6: Final answer
    x = 1,278.42

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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.