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Finding the Fourth Proportional to 585.54, 874.85 and 481.64

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Solution

The fourth proportional to 585.54, 874.85 and 481.64 is: 719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.54 : 874.85 = 481.64 : x
  2. Step 2: Convert to fraction form
    585.54/874.85 = 481.64/x
  3. Step 3: Cross multiply
    585.54x = 874.85 × 481.64
  4. Step 4: Simplify right side
    585.54x = 421,355.97
  5. Step 5: Solve for x
    x = 421,355.97/585.54
  6. Step 6: Final answer
    x = 719.60

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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.