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Finding the Fourth Proportional to 487.63, 668.04 and 469.14

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Solution

The fourth proportional to 487.63, 668.04 and 469.14 is: 642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.63 : 668.04 = 469.14 : x
  2. Step 2: Convert to fraction form
    487.63/668.04 = 469.14/x
  3. Step 3: Cross multiply
    487.63x = 668.04 × 469.14
  4. Step 4: Simplify right side
    487.63x = 313,404.29
  5. Step 5: Solve for x
    x = 313,404.29/487.63
  6. Step 6: Final answer
    x = 642.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.