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Finding the Fourth Proportional to 475.58, 709.69 and 420.91

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Solution

The fourth proportional to 475.58, 709.69 and 420.91 is: 628.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.58 : 709.69 = 420.91 : x
  2. Step 2: Convert to fraction form
    475.58/709.69 = 420.91/x
  3. Step 3: Cross multiply
    475.58x = 709.69 × 420.91
  4. Step 4: Simplify right side
    475.58x = 298,715.62
  5. Step 5: Solve for x
    x = 298,715.62/475.58
  6. Step 6: Final answer
    x = 628.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.