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Finding the Fourth Proportional to 458.60, 628.58 and 442.20

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Solution

The fourth proportional to 458.60, 628.58 and 442.20 is: 606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.60 : 628.58 = 442.20 : x
  2. Step 2: Convert to fraction form
    458.60/628.58 = 442.20/x
  3. Step 3: Cross multiply
    458.60x = 628.58 × 442.20
  4. Step 4: Simplify right side
    458.60x = 277,958.08
  5. Step 5: Solve for x
    x = 277,958.08/458.60
  6. Step 6: Final answer
    x = 606.10

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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.