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Finding the Fourth Proportional to 469.84, 644.21 and 460.12

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Solution

The fourth proportional to 469.84, 644.21 and 460.12 is: 630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.84 : 644.21 = 460.12 : x
  2. Step 2: Convert to fraction form
    469.84/644.21 = 460.12/x
  3. Step 3: Cross multiply
    469.84x = 644.21 × 460.12
  4. Step 4: Simplify right side
    469.84x = 296,413.91
  5. Step 5: Solve for x
    x = 296,413.91/469.84
  6. Step 6: Final answer
    x = 630.88

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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.