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Finding the Fourth Proportional to 482.15, 722.77 and 297.14

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Solution

The fourth proportional to 482.15, 722.77 and 297.14 is: 445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.15 : 722.77 = 297.14 : x
  2. Step 2: Convert to fraction form
    482.15/722.77 = 297.14/x
  3. Step 3: Cross multiply
    482.15x = 722.77 × 297.14
  4. Step 4: Simplify right side
    482.15x = 214,762.72
  5. Step 5: Solve for x
    x = 214,762.72/482.15
  6. Step 6: Final answer
    x = 445.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.