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Finding the Fourth Proportional to 670.12, 1,003.56 and 453.04

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Solution

The fourth proportional to 670.12, 1,003.56 and 453.04 is: 678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.12 : 1,003.56 = 453.04 : x
  2. Step 2: Convert to fraction form
    670.12/1,003.56 = 453.04/x
  3. Step 3: Cross multiply
    670.12x = 1,003.56 × 453.04
  4. Step 4: Simplify right side
    670.12x = 454,652.82
  5. Step 5: Solve for x
    x = 454,652.82/670.12
  6. Step 6: Final answer
    x = 678.46

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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.