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Finding the Fourth Proportional to 512.34, 706.64 and 346.52

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Solution

The fourth proportional to 512.34, 706.64 and 346.52 is: 477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.34 : 706.64 = 346.52 : x
  2. Step 2: Convert to fraction form
    512.34/706.64 = 346.52/x
  3. Step 3: Cross multiply
    512.34x = 706.64 × 346.52
  4. Step 4: Simplify right side
    512.34x = 244,864.93
  5. Step 5: Solve for x
    x = 244,864.93/512.34
  6. Step 6: Final answer
    x = 477.94

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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.