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Finding the Fourth Proportional to 678.64, 941.65 and 651.22

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Solution

The fourth proportional to 678.64, 941.65 and 651.22 is: 903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.64 : 941.65 = 651.22 : x
  2. Step 2: Convert to fraction form
    678.64/941.65 = 651.22/x
  3. Step 3: Cross multiply
    678.64x = 941.65 × 651.22
  4. Step 4: Simplify right side
    678.64x = 613,221.31
  5. Step 5: Solve for x
    x = 613,221.31/678.64
  6. Step 6: Final answer
    x = 903.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.