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Finding the Fourth Proportional to 661.54, 993.03 and 277.06

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Solution

The fourth proportional to 661.54, 993.03 and 277.06 is: 415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.54 : 993.03 = 277.06 : x
  2. Step 2: Convert to fraction form
    661.54/993.03 = 277.06/x
  3. Step 3: Cross multiply
    661.54x = 993.03 × 277.06
  4. Step 4: Simplify right side
    661.54x = 275,128.89
  5. Step 5: Solve for x
    x = 275,128.89/661.54
  6. Step 6: Final answer
    x = 415.89

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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.