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Finding the Fourth Proportional to 496.60, 747.59 and 429.64

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Solution

The fourth proportional to 496.60, 747.59 and 429.64 is: 646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.60 : 747.59 = 429.64 : x
  2. Step 2: Convert to fraction form
    496.60/747.59 = 429.64/x
  3. Step 3: Cross multiply
    496.60x = 747.59 × 429.64
  4. Step 4: Simplify right side
    496.60x = 321,194.57
  5. Step 5: Solve for x
    x = 321,194.57/496.60
  6. Step 6: Final answer
    x = 646.79

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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.