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Finding the Fourth Proportional to 504.49, 696.27 and 307.97

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Solution

The fourth proportional to 504.49, 696.27 and 307.97 is: 425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.49 : 696.27 = 307.97 : x
  2. Step 2: Convert to fraction form
    504.49/696.27 = 307.97/x
  3. Step 3: Cross multiply
    504.49x = 696.27 × 307.97
  4. Step 4: Simplify right side
    504.49x = 214,430.27
  5. Step 5: Solve for x
    x = 214,430.27/504.49
  6. Step 6: Final answer
    x = 425.04

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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.