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Finding the Fourth Proportional to 512.07, 706.32 and 446.46

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Solution

The fourth proportional to 512.07, 706.32 and 446.46 is: 615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.07 : 706.32 = 446.46 : x
  2. Step 2: Convert to fraction form
    512.07/706.32 = 446.46/x
  3. Step 3: Cross multiply
    512.07x = 706.32 × 446.46
  4. Step 4: Simplify right side
    512.07x = 315,343.63
  5. Step 5: Solve for x
    x = 315,343.63/512.07
  6. Step 6: Final answer
    x = 615.82

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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.