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Finding the Fourth Proportional to 557.27, 769.30 and 432.65

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Solution

The fourth proportional to 557.27, 769.30 and 432.65 is: 597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.27 : 769.30 = 432.65 : x
  2. Step 2: Convert to fraction form
    557.27/769.30 = 432.65/x
  3. Step 3: Cross multiply
    557.27x = 769.30 × 432.65
  4. Step 4: Simplify right side
    557.27x = 332,837.65
  5. Step 5: Solve for x
    x = 332,837.65/557.27
  6. Step 6: Final answer
    x = 597.26

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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.