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Finding the Fourth Proportional to 670.88, 1,006.08 and 414.08

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Solution

The fourth proportional to 670.88, 1,006.08 and 414.08 is: 620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.88 : 1,006.08 = 414.08 : x
  2. Step 2: Convert to fraction form
    670.88/1,006.08 = 414.08/x
  3. Step 3: Cross multiply
    670.88x = 1,006.08 × 414.08
  4. Step 4: Simplify right side
    670.88x = 416,597.61
  5. Step 5: Solve for x
    x = 416,597.61/670.88
  6. Step 6: Final answer
    x = 620.97

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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.