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Finding the Fourth Proportional to 661.96, 992.59 and 332.54

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Solution

The fourth proportional to 661.96, 992.59 and 332.54 is: 498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.96 : 992.59 = 332.54 : x
  2. Step 2: Convert to fraction form
    661.96/992.59 = 332.54/x
  3. Step 3: Cross multiply
    661.96x = 992.59 × 332.54
  4. Step 4: Simplify right side
    661.96x = 330,075.88
  5. Step 5: Solve for x
    x = 330,075.88/661.96
  6. Step 6: Final answer
    x = 498.63

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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.