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Finding the Fourth Proportional to 670.95, 1,007.28 and 664.05

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Solution

The fourth proportional to 670.95, 1,007.28 and 664.05 is: 996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.95 : 1,007.28 = 664.05 : x
  2. Step 2: Convert to fraction form
    670.95/1,007.28 = 664.05/x
  3. Step 3: Cross multiply
    670.95x = 1,007.28 × 664.05
  4. Step 4: Simplify right side
    670.95x = 668,884.28
  5. Step 5: Solve for x
    x = 668,884.28/670.95
  6. Step 6: Final answer
    x = 996.92

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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.