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Finding the Fourth Proportional to 1,680.78, 2,319.36 and 934.68

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Solution

The fourth proportional to 1,680.78, 2,319.36 and 934.68 is: 1,289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.78 : 2,319.36 = 934.68 : x
  2. Step 2: Convert to fraction form
    1,680.78/2,319.36 = 934.68/x
  3. Step 3: Cross multiply
    1,680.78x = 2,319.36 × 934.68
  4. Step 4: Simplify right side
    1,680.78x = 2,167,859.40
  5. Step 5: Solve for x
    x = 2,167,859.40/1,680.78
  6. Step 6: Final answer
    x = 1,289.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.