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Finding the Fourth Proportional to 475.70, 714.36 and 259.70

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Solution

The fourth proportional to 475.70, 714.36 and 259.70 is: 389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.70 : 714.36 = 259.70 : x
  2. Step 2: Convert to fraction form
    475.70/714.36 = 259.70/x
  3. Step 3: Cross multiply
    475.70x = 714.36 × 259.70
  4. Step 4: Simplify right side
    475.70x = 185,519.29
  5. Step 5: Solve for x
    x = 185,519.29/475.70
  6. Step 6: Final answer
    x = 389.99

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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.