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Finding the Fourth Proportional to 512.16, 706.77 and 313.33

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Solution

The fourth proportional to 512.16, 706.77 and 313.33 is: 432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.16 : 706.77 = 313.33 : x
  2. Step 2: Convert to fraction form
    512.16/706.77 = 313.33/x
  3. Step 3: Cross multiply
    512.16x = 706.77 × 313.33
  4. Step 4: Simplify right side
    512.16x = 221,447.14
  5. Step 5: Solve for x
    x = 221,447.14/512.16
  6. Step 6: Final answer
    x = 432.38

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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.