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Finding the Fourth Proportional to 745.76, 1,028.28 and 549.36

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Solution

The fourth proportional to 745.76, 1,028.28 and 549.36 is: 757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.76 : 1,028.28 = 549.36 : x
  2. Step 2: Convert to fraction form
    745.76/1,028.28 = 549.36/x
  3. Step 3: Cross multiply
    745.76x = 1,028.28 × 549.36
  4. Step 4: Simplify right side
    745.76x = 564,895.90
  5. Step 5: Solve for x
    x = 564,895.90/745.76
  6. Step 6: Final answer
    x = 757.48

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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.