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Finding the Fourth Proportional to 508.57, 697.24 and 494.80

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Solution

The fourth proportional to 508.57, 697.24 and 494.80 is: 678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.57 : 697.24 = 494.80 : x
  2. Step 2: Convert to fraction form
    508.57/697.24 = 494.80/x
  3. Step 3: Cross multiply
    508.57x = 697.24 × 494.80
  4. Step 4: Simplify right side
    508.57x = 344,994.35
  5. Step 5: Solve for x
    x = 344,994.35/508.57
  6. Step 6: Final answer
    x = 678.36

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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.