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Finding the Fourth Proportional to 503.55, 694.83 and 282.51

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Solution

The fourth proportional to 503.55, 694.83 and 282.51 is: 389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.55 : 694.83 = 282.51 : x
  2. Step 2: Convert to fraction form
    503.55/694.83 = 282.51/x
  3. Step 3: Cross multiply
    503.55x = 694.83 × 282.51
  4. Step 4: Simplify right side
    503.55x = 196,296.42
  5. Step 5: Solve for x
    x = 196,296.42/503.55
  6. Step 6: Final answer
    x = 389.83

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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.