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Finding the Fourth Proportional to 541.44, 745.60 and 502.72

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Solution

The fourth proportional to 541.44, 745.60 and 502.72 is: 692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.44 : 745.60 = 502.72 : x
  2. Step 2: Convert to fraction form
    541.44/745.60 = 502.72/x
  3. Step 3: Cross multiply
    541.44x = 745.60 × 502.72
  4. Step 4: Simplify right side
    541.44x = 374,828.03
  5. Step 5: Solve for x
    x = 374,828.03/541.44
  6. Step 6: Final answer
    x = 692.28

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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.