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Finding the Fourth Proportional to 556.62, 769.14 and 432.60

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Solution

The fourth proportional to 556.62, 769.14 and 432.60 is: 597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.62 : 769.14 = 432.60 : x
  2. Step 2: Convert to fraction form
    556.62/769.14 = 432.60/x
  3. Step 3: Cross multiply
    556.62x = 769.14 × 432.60
  4. Step 4: Simplify right side
    556.62x = 332,729.96
  5. Step 5: Solve for x
    x = 332,729.96/556.62
  6. Step 6: Final answer
    x = 597.77

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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.