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Finding the Fourth Proportional to 479.52, 661.72 and 292.94

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Solution

The fourth proportional to 479.52, 661.72 and 292.94 is: 404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.52 : 661.72 = 292.94 : x
  2. Step 2: Convert to fraction form
    479.52/661.72 = 292.94/x
  3. Step 3: Cross multiply
    479.52x = 661.72 × 292.94
  4. Step 4: Simplify right side
    479.52x = 193,842.79
  5. Step 5: Solve for x
    x = 193,842.79/479.52
  6. Step 6: Final answer
    x = 404.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.