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Finding the Fourth Proportional to 511.92, 707.13 and 446.31

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Solution

The fourth proportional to 511.92, 707.13 and 446.31 is: 616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.92 : 707.13 = 446.31 : x
  2. Step 2: Convert to fraction form
    511.92/707.13 = 446.31/x
  3. Step 3: Cross multiply
    511.92x = 707.13 × 446.31
  4. Step 4: Simplify right side
    511.92x = 315,599.19
  5. Step 5: Solve for x
    x = 315,599.19/511.92
  6. Step 6: Final answer
    x = 616.50

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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.