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Finding the Fourth Proportional to 512.48, 706.85 and 335.25

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Solution

The fourth proportional to 512.48, 706.85 and 335.25 is: 462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.48 : 706.85 = 335.25 : x
  2. Step 2: Convert to fraction form
    512.48/706.85 = 335.25/x
  3. Step 3: Cross multiply
    512.48x = 706.85 × 335.25
  4. Step 4: Simplify right side
    512.48x = 236,971.04
  5. Step 5: Solve for x
    x = 236,971.04/512.48
  6. Step 6: Final answer
    x = 462.40

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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.