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Finding the Fourth Proportional to 475.90, 709.94 and 442.75

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Solution

The fourth proportional to 475.90, 709.94 and 442.75 is: 660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.90 : 709.94 = 442.75 : x
  2. Step 2: Convert to fraction form
    475.90/709.94 = 442.75/x
  3. Step 3: Cross multiply
    475.90x = 709.94 × 442.75
  4. Step 4: Simplify right side
    475.90x = 314,325.94
  5. Step 5: Solve for x
    x = 314,325.94/475.90
  6. Step 6: Final answer
    x = 660.49

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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.