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Finding the Fourth Proportional to 504.40, 694.74 and 410.80

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Solution

The fourth proportional to 504.40, 694.74 and 410.80 is: 565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.40 : 694.74 = 410.80 : x
  2. Step 2: Convert to fraction form
    504.40/694.74 = 410.80/x
  3. Step 3: Cross multiply
    504.40x = 694.74 × 410.80
  4. Step 4: Simplify right side
    504.40x = 285,399.19
  5. Step 5: Solve for x
    x = 285,399.19/504.40
  6. Step 6: Final answer
    x = 565.82

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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.