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Finding the Fourth Proportional to 468.68, 644.04 and 390.92

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Solution

The fourth proportional to 468.68, 644.04 and 390.92 is: 537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.68 : 644.04 = 390.92 : x
  2. Step 2: Convert to fraction form
    468.68/644.04 = 390.92/x
  3. Step 3: Cross multiply
    468.68x = 644.04 × 390.92
  4. Step 4: Simplify right side
    468.68x = 251,768.12
  5. Step 5: Solve for x
    x = 251,768.12/468.68
  6. Step 6: Final answer
    x = 537.19

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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.