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Finding the Fourth Proportional to 660.54, 992.35 and 466.79

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Solution

The fourth proportional to 660.54, 992.35 and 466.79 is: 701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.54 : 992.35 = 466.79 : x
  2. Step 2: Convert to fraction form
    660.54/992.35 = 466.79/x
  3. Step 3: Cross multiply
    660.54x = 992.35 × 466.79
  4. Step 4: Simplify right side
    660.54x = 463,217.47
  5. Step 5: Solve for x
    x = 463,217.47/660.54
  6. Step 6: Final answer
    x = 701.27

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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.