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Finding the Fourth Proportional to 493.58, 679.74 and 492.10

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Solution

The fourth proportional to 493.58, 679.74 and 492.10 is: 677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.58 : 679.74 = 492.10 : x
  2. Step 2: Convert to fraction form
    493.58/679.74 = 492.10/x
  3. Step 3: Cross multiply
    493.58x = 679.74 × 492.10
  4. Step 4: Simplify right side
    493.58x = 334,500.05
  5. Step 5: Solve for x
    x = 334,500.05/493.58
  6. Step 6: Final answer
    x = 677.70

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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.