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Finding the Fourth Proportional to 487.46, 728.56 and 448.54

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Solution

The fourth proportional to 487.46, 728.56 and 448.54 is: 670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.46 : 728.56 = 448.54 : x
  2. Step 2: Convert to fraction form
    487.46/728.56 = 448.54/x
  3. Step 3: Cross multiply
    487.46x = 728.56 × 448.54
  4. Step 4: Simplify right side
    487.46x = 326,788.30
  5. Step 5: Solve for x
    x = 326,788.30/487.46
  6. Step 6: Final answer
    x = 670.39

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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.