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Finding the Fourth Proportional to 458.02, 631.56 and 448.84

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Solution

The fourth proportional to 458.02, 631.56 and 448.84 is: 618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.02 : 631.56 = 448.84 : x
  2. Step 2: Convert to fraction form
    458.02/631.56 = 448.84/x
  3. Step 3: Cross multiply
    458.02x = 631.56 × 448.84
  4. Step 4: Simplify right side
    458.02x = 283,469.39
  5. Step 5: Solve for x
    x = 283,469.39/458.02
  6. Step 6: Final answer
    x = 618.90

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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.