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Finding the Fourth Proportional to 458.48, 627.64 and 456.96

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Solution

The fourth proportional to 458.48, 627.64 and 456.96 is: 625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.48 : 627.64 = 456.96 : x
  2. Step 2: Convert to fraction form
    458.48/627.64 = 456.96/x
  3. Step 3: Cross multiply
    458.48x = 627.64 × 456.96
  4. Step 4: Simplify right side
    458.48x = 286,806.37
  5. Step 5: Solve for x
    x = 286,806.37/458.48
  6. Step 6: Final answer
    x = 625.56

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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.