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Finding the Fourth Proportional to 493.16, 679.38 and 428.36

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Solution

The fourth proportional to 493.16, 679.38 and 428.36 is: 590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.16 : 679.38 = 428.36 : x
  2. Step 2: Convert to fraction form
    493.16/679.38 = 428.36/x
  3. Step 3: Cross multiply
    493.16x = 679.38 × 428.36
  4. Step 4: Simplify right side
    493.16x = 291,019.22
  5. Step 5: Solve for x
    x = 291,019.22/493.16
  6. Step 6: Final answer
    x = 590.11

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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.