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Finding the Fourth Proportional to 504.48, 696.22 and 307.97

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Solution

The fourth proportional to 504.48, 696.22 and 307.97 is: 425.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.48 : 696.22 = 307.97 : x
  2. Step 2: Convert to fraction form
    504.48/696.22 = 307.97/x
  3. Step 3: Cross multiply
    504.48x = 696.22 × 307.97
  4. Step 4: Simplify right side
    504.48x = 214,410.62
  5. Step 5: Solve for x
    x = 214,410.62/504.48
  6. Step 6: Final answer
    x = 425.01

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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.