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Finding the Fourth Proportional to 679.62, 937.47 and 492.84

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Solution

The fourth proportional to 679.62, 937.47 and 492.84 is: 679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.62 : 937.47 = 492.84 : x
  2. Step 2: Convert to fraction form
    679.62/937.47 = 492.84/x
  3. Step 3: Cross multiply
    679.62x = 937.47 × 492.84
  4. Step 4: Simplify right side
    679.62x = 462,022.71
  5. Step 5: Solve for x
    x = 462,022.71/679.62
  6. Step 6: Final answer
    x = 679.83

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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.