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Finding the Fourth Proportional to 504.92, 697.25 and 318.74

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Solution

The fourth proportional to 504.92, 697.25 and 318.74 is: 440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.92 : 697.25 = 318.74 : x
  2. Step 2: Convert to fraction form
    504.92/697.25 = 318.74/x
  3. Step 3: Cross multiply
    504.92x = 697.25 × 318.74
  4. Step 4: Simplify right side
    504.92x = 222,239.87
  5. Step 5: Solve for x
    x = 222,239.87/504.92
  6. Step 6: Final answer
    x = 440.15

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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.