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Finding the Fourth Proportional to 511.01, 705.42 and 314.60

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Solution

The fourth proportional to 511.01, 705.42 and 314.60 is: 434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.01 : 705.42 = 314.60 : x
  2. Step 2: Convert to fraction form
    511.01/705.42 = 314.60/x
  3. Step 3: Cross multiply
    511.01x = 705.42 × 314.60
  4. Step 4: Simplify right side
    511.01x = 221,921.60
  5. Step 5: Solve for x
    x = 221,921.60/511.01
  6. Step 6: Final answer
    x = 434.28

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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.