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Finding the Fourth Proportional to 497.73, 745.77 and 478.77

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Solution

The fourth proportional to 497.73, 745.77 and 478.77 is: 717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.73 : 745.77 = 478.77 : x
  2. Step 2: Convert to fraction form
    497.73/745.77 = 478.77/x
  3. Step 3: Cross multiply
    497.73x = 745.77 × 478.77
  4. Step 4: Simplify right side
    497.73x = 357,052.30
  5. Step 5: Solve for x
    x = 357,052.30/497.73
  6. Step 6: Final answer
    x = 717.36

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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.