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Finding the Fourth Proportional to 508.43, 697.58 and 494.66

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Solution

The fourth proportional to 508.43, 697.58 and 494.66 is: 678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.43 : 697.58 = 494.66 : x
  2. Step 2: Convert to fraction form
    508.43/697.58 = 494.66/x
  3. Step 3: Cross multiply
    508.43x = 697.58 × 494.66
  4. Step 4: Simplify right side
    508.43x = 345,058.96
  5. Step 5: Solve for x
    x = 345,058.96/508.43
  6. Step 6: Final answer
    x = 678.68

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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.