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Finding the Fourth Proportional to 670.75, 1,007.66 and 397.04

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Solution

The fourth proportional to 670.75, 1,007.66 and 397.04 is: 596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.75 : 1,007.66 = 397.04 : x
  2. Step 2: Convert to fraction form
    670.75/1,007.66 = 397.04/x
  3. Step 3: Cross multiply
    670.75x = 1,007.66 × 397.04
  4. Step 4: Simplify right side
    670.75x = 400,077.28
  5. Step 5: Solve for x
    x = 400,077.28/670.75
  6. Step 6: Final answer
    x = 596.46

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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.