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Finding the Fourth Proportional to 467.42, 644.46 and 393.57

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Solution

The fourth proportional to 467.42, 644.46 and 393.57 is: 542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.42 : 644.46 = 393.57 : x
  2. Step 2: Convert to fraction form
    467.42/644.46 = 393.57/x
  3. Step 3: Cross multiply
    467.42x = 644.46 × 393.57
  4. Step 4: Simplify right side
    467.42x = 253,638.65
  5. Step 5: Solve for x
    x = 253,638.65/467.42
  6. Step 6: Final answer
    x = 542.64

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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.