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Finding the Fourth Proportional to 458.47, 631.33 and 448.89

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Solution

The fourth proportional to 458.47, 631.33 and 448.89 is: 618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.47 : 631.33 = 448.89 : x
  2. Step 2: Convert to fraction form
    458.47/631.33 = 448.89/x
  3. Step 3: Cross multiply
    458.47x = 631.33 × 448.89
  4. Step 4: Simplify right side
    458.47x = 283,397.72
  5. Step 5: Solve for x
    x = 283,397.72/458.47
  6. Step 6: Final answer
    x = 618.14

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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.