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Finding the Fourth Proportional to 460, 632.94 and 444.04

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Solution

The fourth proportional to 460, 632.94 and 444.04 is: 610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 632.94 = 444.04 : x
  2. Step 2: Convert to fraction form
    460/632.94 = 444.04/x
  3. Step 3: Cross multiply
    460x = 632.94 × 444.04
  4. Step 4: Simplify right side
    460x = 281,050.68
  5. Step 5: Solve for x
    x = 281,050.68/460
  6. Step 6: Final answer
    x = 610.98

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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.