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Finding the Fourth Proportional to 670.87, 1,004.58 and 397.15

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Solution

The fourth proportional to 670.87, 1,004.58 and 397.15 is: 594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.87 : 1,004.58 = 397.15 : x
  2. Step 2: Convert to fraction form
    670.87/1,004.58 = 397.15/x
  3. Step 3: Cross multiply
    670.87x = 1,004.58 × 397.15
  4. Step 4: Simplify right side
    670.87x = 398,972.09
  5. Step 5: Solve for x
    x = 398,972.09/670.87
  6. Step 6: Final answer
    x = 594.71

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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.