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Finding the Fourth Proportional to 556.87, 767.92 and 432.49

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Solution

The fourth proportional to 556.87, 767.92 and 432.49 is: 596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.87 : 767.92 = 432.49 : x
  2. Step 2: Convert to fraction form
    556.87/767.92 = 432.49/x
  3. Step 3: Cross multiply
    556.87x = 767.92 × 432.49
  4. Step 4: Simplify right side
    556.87x = 332,111.72
  5. Step 5: Solve for x
    x = 332,111.72/556.87
  6. Step 6: Final answer
    x = 596.39

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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.