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Finding the Fourth Proportional to 670.14, 1,006.41 and 439.50

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Solution

The fourth proportional to 670.14, 1,006.41 and 439.50 is: 660.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.14 : 1,006.41 = 439.50 : x
  2. Step 2: Convert to fraction form
    670.14/1,006.41 = 439.50/x
  3. Step 3: Cross multiply
    670.14x = 1,006.41 × 439.50
  4. Step 4: Simplify right side
    670.14x = 442,317.20
  5. Step 5: Solve for x
    x = 442,317.20/670.14
  6. Step 6: Final answer
    x = 660.04

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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.