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Finding the Fourth Proportional to 503.39, 694.76 and 307.01

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Solution

The fourth proportional to 503.39, 694.76 and 307.01 is: 423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.39 : 694.76 = 307.01 : x
  2. Step 2: Convert to fraction form
    503.39/694.76 = 307.01/x
  3. Step 3: Cross multiply
    503.39x = 694.76 × 307.01
  4. Step 4: Simplify right side
    503.39x = 213,293.26
  5. Step 5: Solve for x
    x = 213,293.26/503.39
  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.