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Finding the Fourth Proportional to 508.96, 697.27 and 490.26

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Solution

The fourth proportional to 508.96, 697.27 and 490.26 is: 671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.96 : 697.27 = 490.26 : x
  2. Step 2: Convert to fraction form
    508.96/697.27 = 490.26/x
  3. Step 3: Cross multiply
    508.96x = 697.27 × 490.26
  4. Step 4: Simplify right side
    508.96x = 341,843.59
  5. Step 5: Solve for x
    x = 341,843.59/508.96
  6. Step 6: Final answer
    x = 671.65

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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.