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Finding the Fourth Proportional to 478.93, 718.82 and 259.73

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Solution

The fourth proportional to 478.93, 718.82 and 259.73 is: 389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.93 : 718.82 = 259.73 : x
  2. Step 2: Convert to fraction form
    478.93/718.82 = 259.73/x
  3. Step 3: Cross multiply
    478.93x = 718.82 × 259.73
  4. Step 4: Simplify right side
    478.93x = 186,699.12
  5. Step 5: Solve for x
    x = 186,699.12/478.93
  6. Step 6: Final answer
    x = 389.83

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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.