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Finding the Fourth Proportional to 507.82, 701.00 and 341.72

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Solution

The fourth proportional to 507.82, 701.00 and 341.72 is: 471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.82 : 701.00 = 341.72 : x
  2. Step 2: Convert to fraction form
    507.82/701.00 = 341.72/x
  3. Step 3: Cross multiply
    507.82x = 701.00 × 341.72
  4. Step 4: Simplify right side
    507.82x = 239,546.34
  5. Step 5: Solve for x
    x = 239,546.34/507.82
  6. Step 6: Final answer
    x = 471.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.