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Finding the Fourth Proportional to 487.14, 728.82 and 418.74

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Solution

The fourth proportional to 487.14, 728.82 and 418.74 is: 626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.14 : 728.82 = 418.74 : x
  2. Step 2: Convert to fraction form
    487.14/728.82 = 418.74/x
  3. Step 3: Cross multiply
    487.14x = 728.82 × 418.74
  4. Step 4: Simplify right side
    487.14x = 305,186.09
  5. Step 5: Solve for x
    x = 305,186.09/487.14
  6. Step 6: Final answer
    x = 626.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.