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Finding the Fourth Proportional to 1,077.25, 1,614.34 and 460.33

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Solution

The fourth proportional to 1,077.25, 1,614.34 and 460.33 is: 689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.25 : 1,614.34 = 460.33 : x
  2. Step 2: Convert to fraction form
    1,077.25/1,614.34 = 460.33/x
  3. Step 3: Cross multiply
    1,077.25x = 1,614.34 × 460.33
  4. Step 4: Simplify right side
    1,077.25x = 743,129.13
  5. Step 5: Solve for x
    x = 743,129.13/1,077.25
  6. Step 6: Final answer
    x = 689.84

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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.