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Finding the Fourth Proportional to 512.30, 706.92 and 313.22

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Solution

The fourth proportional to 512.30, 706.92 and 313.22 is: 432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.30 : 706.92 = 313.22 : x
  2. Step 2: Convert to fraction form
    512.30/706.92 = 313.22/x
  3. Step 3: Cross multiply
    512.30x = 706.92 × 313.22
  4. Step 4: Simplify right side
    512.30x = 221,421.48
  5. Step 5: Solve for x
    x = 221,421.48/512.30
  6. Step 6: Final answer
    x = 432.21

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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.