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Finding the Fourth Proportional to 495.86, 749.42 and 487.36

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Solution

The fourth proportional to 495.86, 749.42 and 487.36 is: 736.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.86 : 749.42 = 487.36 : x
  2. Step 2: Convert to fraction form
    495.86/749.42 = 487.36/x
  3. Step 3: Cross multiply
    495.86x = 749.42 × 487.36
  4. Step 4: Simplify right side
    495.86x = 365,237.33
  5. Step 5: Solve for x
    x = 365,237.33/495.86
  6. Step 6: Final answer
    x = 736.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.