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Finding the Fourth Proportional to 468.12, 644.54 and 424.92

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Solution

The fourth proportional to 468.12, 644.54 and 424.92 is: 585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.12 : 644.54 = 424.92 : x
  2. Step 2: Convert to fraction form
    468.12/644.54 = 424.92/x
  3. Step 3: Cross multiply
    468.12x = 644.54 × 424.92
  4. Step 4: Simplify right side
    468.12x = 273,877.94
  5. Step 5: Solve for x
    x = 273,877.94/468.12
  6. Step 6: Final answer
    x = 585.06

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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.