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Finding the Fourth Proportional to 648.94, 970.98 and 404.32

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Solution

The fourth proportional to 648.94, 970.98 and 404.32 is: 604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.94 : 970.98 = 404.32 : x
  2. Step 2: Convert to fraction form
    648.94/970.98 = 404.32/x
  3. Step 3: Cross multiply
    648.94x = 970.98 × 404.32
  4. Step 4: Simplify right side
    648.94x = 392,584.61
  5. Step 5: Solve for x
    x = 392,584.61/648.94
  6. Step 6: Final answer
    x = 604.96

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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.