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Finding the Fourth Proportional to 503.59, 694.42 and 398.51

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Solution

The fourth proportional to 503.59, 694.42 and 398.51 is: 549.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.59 : 694.42 = 398.51 : x
  2. Step 2: Convert to fraction form
    503.59/694.42 = 398.51/x
  3. Step 3: Cross multiply
    503.59x = 694.42 × 398.51
  4. Step 4: Simplify right side
    503.59x = 276,727.85
  5. Step 5: Solve for x
    x = 276,727.85/503.59
  6. Step 6: Final answer
    x = 549.52

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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.