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Finding the Fourth Proportional to 504.09, 694.98 and 406.08

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Solution

The fourth proportional to 504.09, 694.98 and 406.08 is: 559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.09 : 694.98 = 406.08 : x
  2. Step 2: Convert to fraction form
    504.09/694.98 = 406.08/x
  3. Step 3: Cross multiply
    504.09x = 694.98 × 406.08
  4. Step 4: Simplify right side
    504.09x = 282,217.48
  5. Step 5: Solve for x
    x = 282,217.48/504.09
  6. Step 6: Final answer
    x = 559.86

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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.