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Finding the Fourth Proportional to 492.99, 735.68 and 438.45

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Solution

The fourth proportional to 492.99, 735.68 and 438.45 is: 654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.99 : 735.68 = 438.45 : x
  2. Step 2: Convert to fraction form
    492.99/735.68 = 438.45/x
  3. Step 3: Cross multiply
    492.99x = 735.68 × 438.45
  4. Step 4: Simplify right side
    492.99x = 322,556.70
  5. Step 5: Solve for x
    x = 322,556.70/492.99
  6. Step 6: Final answer
    x = 654.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.