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Finding the Fourth Proportional to 511.04, 705.02 and 314.44

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Solution

The fourth proportional to 511.04, 705.02 and 314.44 is: 433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.04 : 705.02 = 314.44 : x
  2. Step 2: Convert to fraction form
    511.04/705.02 = 314.44/x
  3. Step 3: Cross multiply
    511.04x = 705.02 × 314.44
  4. Step 4: Simplify right side
    511.04x = 221,684.92
  5. Step 5: Solve for x
    x = 221,684.92/511.04
  6. Step 6: Final answer
    x = 433.79

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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.