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Finding the Fourth Proportional to 500.98, 689.75 and 441.92

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Solution

The fourth proportional to 500.98, 689.75 and 441.92 is: 608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.98 : 689.75 = 441.92 : x
  2. Step 2: Convert to fraction form
    500.98/689.75 = 441.92/x
  3. Step 3: Cross multiply
    500.98x = 689.75 × 441.92
  4. Step 4: Simplify right side
    500.98x = 304,810.87
  5. Step 5: Solve for x
    x = 304,810.87/500.98
  6. Step 6: Final answer
    x = 608.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.