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Finding the Fourth Proportional to 503.64, 694.80 and 307.14

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Solution

The fourth proportional to 503.64, 694.80 and 307.14 is: 423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.64 : 694.80 = 307.14 : x
  2. Step 2: Convert to fraction form
    503.64/694.80 = 307.14/x
  3. Step 3: Cross multiply
    503.64x = 694.80 × 307.14
  4. Step 4: Simplify right side
    503.64x = 213,400.87
  5. Step 5: Solve for x
    x = 213,400.87/503.64
  6. Step 6: Final answer
    x = 423.72

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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.