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Finding the Fourth Proportional to 511.28, 705.32 and 314.72

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Solution

The fourth proportional to 511.28, 705.32 and 314.72 is: 434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.28 : 705.32 = 314.72 : x
  2. Step 2: Convert to fraction form
    511.28/705.32 = 314.72/x
  3. Step 3: Cross multiply
    511.28x = 705.32 × 314.72
  4. Step 4: Simplify right side
    511.28x = 221,978.31
  5. Step 5: Solve for x
    x = 221,978.31/511.28
  6. Step 6: Final answer
    x = 434.16

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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.