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Finding the Fourth Proportional to 512.82, 703.43 and 508.43

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Solution

The fourth proportional to 512.82, 703.43 and 508.43 is: 697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.82 : 703.43 = 508.43 : x
  2. Step 2: Convert to fraction form
    512.82/703.43 = 508.43/x
  3. Step 3: Cross multiply
    512.82x = 703.43 × 508.43
  4. Step 4: Simplify right side
    512.82x = 357,638.86
  5. Step 5: Solve for x
    x = 357,638.86/512.82
  6. Step 6: Final answer
    x = 697.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.