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Finding the Fourth Proportional to 745.43, 1,114.10 and 687.07

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Solution

The fourth proportional to 745.43, 1,114.10 and 687.07 is: 1,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.43 : 1,114.10 = 687.07 : x
  2. Step 2: Convert to fraction form
    745.43/1,114.10 = 687.07/x
  3. Step 3: Cross multiply
    745.43x = 1,114.10 × 687.07
  4. Step 4: Simplify right side
    745.43x = 765,464.69
  5. Step 5: Solve for x
    x = 765,464.69/745.43
  6. Step 6: Final answer
    x = 1,026.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.