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Finding the Fourth Proportional to 475.98, 714.42 and 259.26

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Solution

The fourth proportional to 475.98, 714.42 and 259.26 is: 389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.98 : 714.42 = 259.26 : x
  2. Step 2: Convert to fraction form
    475.98/714.42 = 259.26/x
  3. Step 3: Cross multiply
    475.98x = 714.42 × 259.26
  4. Step 4: Simplify right side
    475.98x = 185,220.53
  5. Step 5: Solve for x
    x = 185,220.53/475.98
  6. Step 6: Final answer
    x = 389.14

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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.