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Finding the Fourth Proportional to 460.87, 631.93 and 447.21

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Solution

The fourth proportional to 460.87, 631.93 and 447.21 is: 613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.87 : 631.93 = 447.21 : x
  2. Step 2: Convert to fraction form
    460.87/631.93 = 447.21/x
  3. Step 3: Cross multiply
    460.87x = 631.93 × 447.21
  4. Step 4: Simplify right side
    460.87x = 282,602.26
  5. Step 5: Solve for x
    x = 282,602.26/460.87
  6. Step 6: Final answer
    x = 613.19

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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.