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Finding the Fourth Proportional to 487.56, 728.76 and 404.94

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Solution

The fourth proportional to 487.56, 728.76 and 404.94 is: 605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.56 : 728.76 = 404.94 : x
  2. Step 2: Convert to fraction form
    487.56/728.76 = 404.94/x
  3. Step 3: Cross multiply
    487.56x = 728.76 × 404.94
  4. Step 4: Simplify right side
    487.56x = 295,104.07
  5. Step 5: Solve for x
    x = 295,104.07/487.56
  6. Step 6: Final answer
    x = 605.27

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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.