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Finding the Fourth Proportional to 512.91, 707.71 and 297.28

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Solution

The fourth proportional to 512.91, 707.71 and 297.28 is: 410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.91 : 707.71 = 297.28 : x
  2. Step 2: Convert to fraction form
    512.91/707.71 = 297.28/x
  3. Step 3: Cross multiply
    512.91x = 707.71 × 297.28
  4. Step 4: Simplify right side
    512.91x = 210,383.00
  5. Step 5: Solve for x
    x = 210,383.00/512.91
  6. Step 6: Final answer
    x = 410.18

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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.