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Finding the Fourth Proportional to 458.60, 633.79 and 419.42

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Solution

The fourth proportional to 458.60, 633.79 and 419.42 is: 579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.60 : 633.79 = 419.42 : x
  2. Step 2: Convert to fraction form
    458.60/633.79 = 419.42/x
  3. Step 3: Cross multiply
    458.60x = 633.79 × 419.42
  4. Step 4: Simplify right side
    458.60x = 265,824.20
  5. Step 5: Solve for x
    x = 265,824.20/458.60
  6. Step 6: Final answer
    x = 579.64

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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.