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Finding the Fourth Proportional to 756.14, 1,042.98 and 494.15

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Solution

The fourth proportional to 756.14, 1,042.98 and 494.15 is: 681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.14 : 1,042.98 = 494.15 : x
  2. Step 2: Convert to fraction form
    756.14/1,042.98 = 494.15/x
  3. Step 3: Cross multiply
    756.14x = 1,042.98 × 494.15
  4. Step 4: Simplify right side
    756.14x = 515,383.35
  5. Step 5: Solve for x
    x = 515,383.35/756.14
  6. Step 6: Final answer
    x = 681.60

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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.