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Finding the Fourth Proportional to 1,165.10, 1,607.43 and 745.52

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Solution

The fourth proportional to 1,165.10, 1,607.43 and 745.52 is: 1,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.10 : 1,607.43 = 745.52 : x
  2. Step 2: Convert to fraction form
    1,165.10/1,607.43 = 745.52/x
  3. Step 3: Cross multiply
    1,165.10x = 1,607.43 × 745.52
  4. Step 4: Simplify right side
    1,165.10x = 1,198,371.21
  5. Step 5: Solve for x
    x = 1,198,371.21/1,165.10
  6. Step 6: Final answer
    x = 1,028.56

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1.5x scale

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.