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Finding the Fourth Proportional to 475.70, 713.43 and 146.70

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Solution

The fourth proportional to 475.70, 713.43 and 146.70 is: 220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.70 : 713.43 = 146.70 : x
  2. Step 2: Convert to fraction form
    475.70/713.43 = 146.70/x
  3. Step 3: Cross multiply
    475.70x = 713.43 × 146.70
  4. Step 4: Simplify right side
    475.70x = 104,660.18
  5. Step 5: Solve for x
    x = 104,660.18/475.70
  6. Step 6: Final answer
    x = 220.02

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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.