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Finding the Fourth Proportional to 557.21, 769.32 and 432.68

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Solution

The fourth proportional to 557.21, 769.32 and 432.68 is: 597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.21 : 769.32 = 432.68 : x
  2. Step 2: Convert to fraction form
    557.21/769.32 = 432.68/x
  3. Step 3: Cross multiply
    557.21x = 769.32 × 432.68
  4. Step 4: Simplify right side
    557.21x = 332,865.53
  5. Step 5: Solve for x
    x = 332,865.53/557.21
  6. Step 6: Final answer
    x = 597.38

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1.5x scale

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.