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Finding the Fourth Proportional to 503.92, 745.60 and 502.48

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Solution

The fourth proportional to 503.92, 745.60 and 502.48 is: 743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.92 : 745.60 = 502.48 : x
  2. Step 2: Convert to fraction form
    503.92/745.60 = 502.48/x
  3. Step 3: Cross multiply
    503.92x = 745.60 × 502.48
  4. Step 4: Simplify right side
    503.92x = 374,649.09
  5. Step 5: Solve for x
    x = 374,649.09/503.92
  6. Step 6: Final answer
    x = 743.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.