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Finding the Fourth Proportional to 645.24, 889.68 and 488.04

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Solution

The fourth proportional to 645.24, 889.68 and 488.04 is: 672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.24 : 889.68 = 488.04 : x
  2. Step 2: Convert to fraction form
    645.24/889.68 = 488.04/x
  3. Step 3: Cross multiply
    645.24x = 889.68 × 488.04
  4. Step 4: Simplify right side
    645.24x = 434,199.43
  5. Step 5: Solve for x
    x = 434,199.43/645.24
  6. Step 6: Final answer
    x = 672.93

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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.