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Finding the Fourth Proportional to 495.78, 745.02 and 491.46

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Solution

The fourth proportional to 495.78, 745.02 and 491.46 is: 738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.78 : 745.02 = 491.46 : x
  2. Step 2: Convert to fraction form
    495.78/745.02 = 491.46/x
  3. Step 3: Cross multiply
    495.78x = 745.02 × 491.46
  4. Step 4: Simplify right side
    495.78x = 366,147.53
  5. Step 5: Solve for x
    x = 366,147.53/495.78
  6. Step 6: Final answer
    x = 738.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.