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Finding the Fourth Proportional to 512.34, 707.27 and 346.49

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Solution

The fourth proportional to 512.34, 707.27 and 346.49 is: 478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.34 : 707.27 = 346.49 : x
  2. Step 2: Convert to fraction form
    512.34/707.27 = 346.49/x
  3. Step 3: Cross multiply
    512.34x = 707.27 × 346.49
  4. Step 4: Simplify right side
    512.34x = 245,061.98
  5. Step 5: Solve for x
    x = 245,061.98/512.34
  6. Step 6: Final answer
    x = 478.32

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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.