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Finding the Fourth Proportional to 487.94, 728.22 and 446.63

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Solution

The fourth proportional to 487.94, 728.22 and 446.63 is: 666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.94 : 728.22 = 446.63 : x
  2. Step 2: Convert to fraction form
    487.94/728.22 = 446.63/x
  3. Step 3: Cross multiply
    487.94x = 728.22 × 446.63
  4. Step 4: Simplify right side
    487.94x = 325,241.26
  5. Step 5: Solve for x
    x = 325,241.26/487.94
  6. Step 6: Final answer
    x = 666.57

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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.