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Finding the Fourth Proportional to 653.57, 979.86 and 421.98

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Solution

The fourth proportional to 653.57, 979.86 and 421.98 is: 632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.57 : 979.86 = 421.98 : x
  2. Step 2: Convert to fraction form
    653.57/979.86 = 421.98/x
  3. Step 3: Cross multiply
    653.57x = 979.86 × 421.98
  4. Step 4: Simplify right side
    653.57x = 413,481.32
  5. Step 5: Solve for x
    x = 413,481.32/653.57
  6. Step 6: Final answer
    x = 632.66

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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.