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Finding the Fourth Proportional to 481.76, 663.18 and 432.62

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Solution

The fourth proportional to 481.76, 663.18 and 432.62 is: 595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.76 : 663.18 = 432.62 : x
  2. Step 2: Convert to fraction form
    481.76/663.18 = 432.62/x
  3. Step 3: Cross multiply
    481.76x = 663.18 × 432.62
  4. Step 4: Simplify right side
    481.76x = 286,904.93
  5. Step 5: Solve for x
    x = 286,904.93/481.76
  6. Step 6: Final answer
    x = 595.53

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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.