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Finding the Fourth Proportional to 648.75, 970.16 and 484.33

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Solution

The fourth proportional to 648.75, 970.16 and 484.33 is: 724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.75 : 970.16 = 484.33 : x
  2. Step 2: Convert to fraction form
    648.75/970.16 = 484.33/x
  3. Step 3: Cross multiply
    648.75x = 970.16 × 484.33
  4. Step 4: Simplify right side
    648.75x = 469,877.59
  5. Step 5: Solve for x
    x = 469,877.59/648.75
  6. Step 6: Final answer
    x = 724.28

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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.