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Finding the Fourth Proportional to 512.00, 705.75 and 469.62

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Solution

The fourth proportional to 512.00, 705.75 and 469.62 is: 647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.00 : 705.75 = 469.62 : x
  2. Step 2: Convert to fraction form
    512.00/705.75 = 469.62/x
  3. Step 3: Cross multiply
    512.00x = 705.75 × 469.62
  4. Step 4: Simplify right side
    512.00x = 331,434.32
  5. Step 5: Solve for x
    x = 331,434.32/512.00
  6. Step 6: Final answer
    x = 647.34

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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.