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Finding the Fourth Proportional to 508.80, 761.67 and 453.45

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Solution

The fourth proportional to 508.80, 761.67 and 453.45 is: 678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.80 : 761.67 = 453.45 : x
  2. Step 2: Convert to fraction form
    508.80/761.67 = 453.45/x
  3. Step 3: Cross multiply
    508.80x = 761.67 × 453.45
  4. Step 4: Simplify right side
    508.80x = 345,379.26
  5. Step 5: Solve for x
    x = 345,379.26/508.80
  6. Step 6: Final answer
    x = 678.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.