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Finding the Fourth Proportional to 670.12, 1,003.26 and 412.84

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Solution

The fourth proportional to 670.12, 1,003.26 and 412.84 is: 618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.12 : 1,003.26 = 412.84 : x
  2. Step 2: Convert to fraction form
    670.12/1,003.26 = 412.84/x
  3. Step 3: Cross multiply
    670.12x = 1,003.26 × 412.84
  4. Step 4: Simplify right side
    670.12x = 414,185.86
  5. Step 5: Solve for x
    x = 414,185.86/670.12
  6. Step 6: Final answer
    x = 618.08

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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.