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Finding the Fourth Proportional to 475.99, 714.45 and 419.05

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Solution

The fourth proportional to 475.99, 714.45 and 419.05 is: 628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.99 : 714.45 = 419.05 : x
  2. Step 2: Convert to fraction form
    475.99/714.45 = 419.05/x
  3. Step 3: Cross multiply
    475.99x = 714.45 × 419.05
  4. Step 4: Simplify right side
    475.99x = 299,390.27
  5. Step 5: Solve for x
    x = 299,390.27/475.99
  6. Step 6: Final answer
    x = 628.98

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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.