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Finding the Fourth Proportional to 512.21, 705.74 and 346.13

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Solution

The fourth proportional to 512.21, 705.74 and 346.13 is: 476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.21 : 705.74 = 346.13 : x
  2. Step 2: Convert to fraction form
    512.21/705.74 = 346.13/x
  3. Step 3: Cross multiply
    512.21x = 705.74 × 346.13
  4. Step 4: Simplify right side
    512.21x = 244,272.53
  5. Step 5: Solve for x
    x = 244,272.53/512.21
  6. Step 6: Final answer
    x = 476.90

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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.