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Finding the Fourth Proportional to 488.24, 735.29 and 411.68

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Solution

The fourth proportional to 488.24, 735.29 and 411.68 is: 619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.24 : 735.29 = 411.68 : x
  2. Step 2: Convert to fraction form
    488.24/735.29 = 411.68/x
  3. Step 3: Cross multiply
    488.24x = 735.29 × 411.68
  4. Step 4: Simplify right side
    488.24x = 302,704.19
  5. Step 5: Solve for x
    x = 302,704.19/488.24
  6. Step 6: Final answer
    x = 619.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.