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Finding the Fourth Proportional to 493.33, 679.40 and 345.71

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Solution

The fourth proportional to 493.33, 679.40 and 345.71 is: 476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.33 : 679.40 = 345.71 : x
  2. Step 2: Convert to fraction form
    493.33/679.40 = 345.71/x
  3. Step 3: Cross multiply
    493.33x = 679.40 × 345.71
  4. Step 4: Simplify right side
    493.33x = 234,875.37
  5. Step 5: Solve for x
    x = 234,875.37/493.33
  6. Step 6: Final answer
    x = 476.10

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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.