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Finding the Fourth Proportional to 511.45, 706.30 and 346.30

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Solution

The fourth proportional to 511.45, 706.30 and 346.30 is: 478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.45 : 706.30 = 346.30 : x
  2. Step 2: Convert to fraction form
    511.45/706.30 = 346.30/x
  3. Step 3: Cross multiply
    511.45x = 706.30 × 346.30
  4. Step 4: Simplify right side
    511.45x = 244,589.06
  5. Step 5: Solve for x
    x = 244,589.06/511.45
  6. Step 6: Final answer
    x = 478.23

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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.