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Finding the Fourth Proportional to 661.54, 991.08 and 295.42

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Solution

The fourth proportional to 661.54, 991.08 and 295.42 is: 442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.54 : 991.08 = 295.42 : x
  2. Step 2: Convert to fraction form
    661.54/991.08 = 295.42/x
  3. Step 3: Cross multiply
    661.54x = 991.08 × 295.42
  4. Step 4: Simplify right side
    661.54x = 292,784.85
  5. Step 5: Solve for x
    x = 292,784.85/661.54
  6. Step 6: Final answer
    x = 442.58

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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.