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Finding the Fourth Proportional to 475.90, 713.19 and 259.66

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Solution

The fourth proportional to 475.90, 713.19 and 259.66 is: 389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.90 : 713.19 = 259.66 : x
  2. Step 2: Convert to fraction form
    475.90/713.19 = 259.66/x
  3. Step 3: Cross multiply
    475.90x = 713.19 × 259.66
  4. Step 4: Simplify right side
    475.90x = 185,186.92
  5. Step 5: Solve for x
    x = 185,186.92/475.90
  6. Step 6: Final answer
    x = 389.13

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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.