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Finding the Fourth Proportional to 648.40, 966.96 and 612.01

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Solution

The fourth proportional to 648.40, 966.96 and 612.01 is: 912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.40 : 966.96 = 612.01 : x
  2. Step 2: Convert to fraction form
    648.40/966.96 = 612.01/x
  3. Step 3: Cross multiply
    648.40x = 966.96 × 612.01
  4. Step 4: Simplify right side
    648.40x = 591,781.29
  5. Step 5: Solve for x
    x = 591,781.29/648.40
  6. Step 6: Final answer
    x = 912.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.