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Finding the Fourth Proportional to 632.66, 945.09 and 448.61

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Solution

The fourth proportional to 632.66, 945.09 and 448.61 is: 670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.66 : 945.09 = 448.61 : x
  2. Step 2: Convert to fraction form
    632.66/945.09 = 448.61/x
  3. Step 3: Cross multiply
    632.66x = 945.09 × 448.61
  4. Step 4: Simplify right side
    632.66x = 423,972.10
  5. Step 5: Solve for x
    x = 423,972.10/632.66
  6. Step 6: Final answer
    x = 670.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.