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Finding the Fourth Proportional to 469.20, 644.34 and 395.40

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Solution

The fourth proportional to 469.20, 644.34 and 395.40 is: 542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.20 : 644.34 = 395.40 : x
  2. Step 2: Convert to fraction form
    469.20/644.34 = 395.40/x
  3. Step 3: Cross multiply
    469.20x = 644.34 × 395.40
  4. Step 4: Simplify right side
    469.20x = 254,772.04
  5. Step 5: Solve for x
    x = 254,772.04/469.20
  6. Step 6: Final answer
    x = 542.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.