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Finding the Fourth Proportional to 503.64, 695.69 and 394.48

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Solution

The fourth proportional to 503.64, 695.69 and 394.48 is: 544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.64 : 695.69 = 394.48 : x
  2. Step 2: Convert to fraction form
    503.64/695.69 = 394.48/x
  3. Step 3: Cross multiply
    503.64x = 695.69 × 394.48
  4. Step 4: Simplify right side
    503.64x = 274,435.79
  5. Step 5: Solve for x
    x = 274,435.79/503.64
  6. Step 6: Final answer
    x = 544.90

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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.