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Finding the Fourth Proportional to 475.61, 713.75 and 293.09

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Solution

The fourth proportional to 475.61, 713.75 and 293.09 is: 439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.61 : 713.75 = 293.09 : x
  2. Step 2: Convert to fraction form
    475.61/713.75 = 293.09/x
  3. Step 3: Cross multiply
    475.61x = 713.75 × 293.09
  4. Step 4: Simplify right side
    475.61x = 209,187.95
  5. Step 5: Solve for x
    x = 209,187.95/475.61
  6. Step 6: Final answer
    x = 439.84

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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.