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Finding the Fourth Proportional to 653.25, 979.16 and 421.59

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Solution

The fourth proportional to 653.25, 979.16 and 421.59 is: 631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.25 : 979.16 = 421.59 : x
  2. Step 2: Convert to fraction form
    653.25/979.16 = 421.59/x
  3. Step 3: Cross multiply
    653.25x = 979.16 × 421.59
  4. Step 4: Simplify right side
    653.25x = 412,801.96
  5. Step 5: Solve for x
    x = 412,801.96/653.25
  6. Step 6: Final answer
    x = 631.92

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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.