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Finding the Fourth Proportional to 493.70, 681.62 and 346.68

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Solution

The fourth proportional to 493.70, 681.62 and 346.68 is: 478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.70 : 681.62 = 346.68 : x
  2. Step 2: Convert to fraction form
    493.70/681.62 = 346.68/x
  3. Step 3: Cross multiply
    493.70x = 681.62 × 346.68
  4. Step 4: Simplify right side
    493.70x = 236,302.29
  5. Step 5: Solve for x
    x = 236,302.29/493.70
  6. Step 6: Final answer
    x = 478.64

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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.