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Finding the Fourth Proportional to 504.96, 697.20 and 330.48

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Solution

The fourth proportional to 504.96, 697.20 and 330.48 is: 456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.96 : 697.20 = 330.48 : x
  2. Step 2: Convert to fraction form
    504.96/697.20 = 330.48/x
  3. Step 3: Cross multiply
    504.96x = 697.20 × 330.48
  4. Step 4: Simplify right side
    504.96x = 230,410.66
  5. Step 5: Solve for x
    x = 230,410.66/504.96
  6. Step 6: Final answer
    x = 456.29

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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.