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Finding the Fourth Proportional to 503.02, 694.29 and 306.64

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Solution

The fourth proportional to 503.02, 694.29 and 306.64 is: 423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.02 : 694.29 = 306.64 : x
  2. Step 2: Convert to fraction form
    503.02/694.29 = 306.64/x
  3. Step 3: Cross multiply
    503.02x = 694.29 × 306.64
  4. Step 4: Simplify right side
    503.02x = 212,897.09
  5. Step 5: Solve for x
    x = 212,897.09/503.02
  6. Step 6: Final answer
    x = 423.24

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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.