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Finding the Fourth Proportional to 475.70, 707.85 and 474.08

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Solution

The fourth proportional to 475.70, 707.85 and 474.08 is: 705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.70 : 707.85 = 474.08 : x
  2. Step 2: Convert to fraction form
    475.70/707.85 = 474.08/x
  3. Step 3: Cross multiply
    475.70x = 707.85 × 474.08
  4. Step 4: Simplify right side
    475.70x = 335,573.99
  5. Step 5: Solve for x
    x = 335,573.99/475.70
  6. Step 6: Final answer
    x = 705.44

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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.