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Finding the Fourth Proportional to 475.73, 714.14 and 259.73

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Solution

The fourth proportional to 475.73, 714.14 and 259.73 is: 389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.73 : 714.14 = 259.73 : x
  2. Step 2: Convert to fraction form
    475.73/714.14 = 259.73/x
  3. Step 3: Cross multiply
    475.73x = 714.14 × 259.73
  4. Step 4: Simplify right side
    475.73x = 185,483.58
  5. Step 5: Solve for x
    x = 185,483.58/475.73
  6. Step 6: Final answer
    x = 389.89

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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.