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Finding the Fourth Proportional to 745.12, 1,025.49 and 652.11

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Solution

The fourth proportional to 745.12, 1,025.49 and 652.11 is: 897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.12 : 1,025.49 = 652.11 : x
  2. Step 2: Convert to fraction form
    745.12/1,025.49 = 652.11/x
  3. Step 3: Cross multiply
    745.12x = 1,025.49 × 652.11
  4. Step 4: Simplify right side
    745.12x = 668,732.28
  5. Step 5: Solve for x
    x = 668,732.28/745.12
  6. Step 6: Final answer
    x = 897.48

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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.