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Finding the Fourth Proportional to 512.30, 705.83 and 474.63

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Solution

The fourth proportional to 512.30, 705.83 and 474.63 is: 653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.30 : 705.83 = 474.63 : x
  2. Step 2: Convert to fraction form
    512.30/705.83 = 474.63/x
  3. Step 3: Cross multiply
    512.30x = 705.83 × 474.63
  4. Step 4: Simplify right side
    512.30x = 335,005.72
  5. Step 5: Solve for x
    x = 335,005.72/512.30
  6. Step 6: Final answer
    x = 653.93

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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.