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Finding the Fourth Proportional to 735.11, 1,014.27 and 451.61

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Solution

The fourth proportional to 735.11, 1,014.27 and 451.61 is: 623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.11 : 1,014.27 = 451.61 : x
  2. Step 2: Convert to fraction form
    735.11/1,014.27 = 451.61/x
  3. Step 3: Cross multiply
    735.11x = 1,014.27 × 451.61
  4. Step 4: Simplify right side
    735.11x = 458,054.47
  5. Step 5: Solve for x
    x = 458,054.47/735.11
  6. Step 6: Final answer
    x = 623.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.