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Finding the Fourth Proportional to 548.42, 757.85 and 432.90

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Solution

The fourth proportional to 548.42, 757.85 and 432.90 is: 598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.42 : 757.85 = 432.90 : x
  2. Step 2: Convert to fraction form
    548.42/757.85 = 432.90/x
  3. Step 3: Cross multiply
    548.42x = 757.85 × 432.90
  4. Step 4: Simplify right side
    548.42x = 328,073.27
  5. Step 5: Solve for x
    x = 328,073.27/548.42
  6. Step 6: Final answer
    x = 598.22

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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.