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Finding the Fourth Proportional to 496.04, 684.28 and 307.04

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Solution

The fourth proportional to 496.04, 684.28 and 307.04 is: 423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.04 : 684.28 = 307.04 : x
  2. Step 2: Convert to fraction form
    496.04/684.28 = 307.04/x
  3. Step 3: Cross multiply
    496.04x = 684.28 × 307.04
  4. Step 4: Simplify right side
    496.04x = 210,101.33
  5. Step 5: Solve for x
    x = 210,101.33/496.04
  6. Step 6: Final answer
    x = 423.56

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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.