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Finding the Fourth Proportional to 670.13, 1,003.37 and 451.10

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Solution

The fourth proportional to 670.13, 1,003.37 and 451.10 is: 675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.13 : 1,003.37 = 451.10 : x
  2. Step 2: Convert to fraction form
    670.13/1,003.37 = 451.10/x
  3. Step 3: Cross multiply
    670.13x = 1,003.37 × 451.10
  4. Step 4: Simplify right side
    670.13x = 452,617.95
  5. Step 5: Solve for x
    x = 452,617.95/670.13
  6. Step 6: Final answer
    x = 675.42

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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.