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Finding the Fourth Proportional to 670.11, 1,005.86 and 410.29

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Solution

The fourth proportional to 670.11, 1,005.86 and 410.29 is: 615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.11 : 1,005.86 = 410.29 : x
  2. Step 2: Convert to fraction form
    670.11/1,005.86 = 410.29/x
  3. Step 3: Cross multiply
    670.11x = 1,005.86 × 410.29
  4. Step 4: Simplify right side
    670.11x = 412,694.30
  5. Step 5: Solve for x
    x = 412,694.30/670.11
  6. Step 6: Final answer
    x = 615.86

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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.