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Finding the Fourth Proportional to 488.13, 668.73 and 469.64

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Solution

The fourth proportional to 488.13, 668.73 and 469.64 is: 643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.13 : 668.73 = 469.64 : x
  2. Step 2: Convert to fraction form
    488.13/668.73 = 469.64/x
  3. Step 3: Cross multiply
    488.13x = 668.73 × 469.64
  4. Step 4: Simplify right side
    488.13x = 314,059.01
  5. Step 5: Solve for x
    x = 314,059.01/488.13
  6. Step 6: Final answer
    x = 643.39

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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.