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Finding the Fourth Proportional to 468.86, 647.07 and 282.43

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Solution

The fourth proportional to 468.86, 647.07 and 282.43 is: 389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.86 : 647.07 = 282.43 : x
  2. Step 2: Convert to fraction form
    468.86/647.07 = 282.43/x
  3. Step 3: Cross multiply
    468.86x = 647.07 × 282.43
  4. Step 4: Simplify right side
    468.86x = 182,748.74
  5. Step 5: Solve for x
    x = 182,748.74/468.86
  6. Step 6: Final answer
    x = 389.77

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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.