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Finding the Fourth Proportional to 482.13, 722.36 and 299.66

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Solution

The fourth proportional to 482.13, 722.36 and 299.66 is: 448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.13 : 722.36 = 299.66 : x
  2. Step 2: Convert to fraction form
    482.13/722.36 = 299.66/x
  3. Step 3: Cross multiply
    482.13x = 722.36 × 299.66
  4. Step 4: Simplify right side
    482.13x = 216,457.29
  5. Step 5: Solve for x
    x = 216,457.29/482.13
  6. Step 6: Final answer
    x = 448.96

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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.