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Finding the Fourth Proportional to 499.73, 745.89 and 468.95

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Solution

The fourth proportional to 499.73, 745.89 and 468.95 is: 699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.73 : 745.89 = 468.95 : x
  2. Step 2: Convert to fraction form
    499.73/745.89 = 468.95/x
  3. Step 3: Cross multiply
    499.73x = 745.89 × 468.95
  4. Step 4: Simplify right side
    499.73x = 349,779.63
  5. Step 5: Solve for x
    x = 349,779.63/499.73
  6. Step 6: Final answer
    x = 699.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.