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Finding the Fourth Proportional to 628.32, 866.92 and 418.80

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Solution

The fourth proportional to 628.32, 866.92 and 418.80 is: 577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.32 : 866.92 = 418.80 : x
  2. Step 2: Convert to fraction form
    628.32/866.92 = 418.80/x
  3. Step 3: Cross multiply
    628.32x = 866.92 × 418.80
  4. Step 4: Simplify right side
    628.32x = 363,066.10
  5. Step 5: Solve for x
    x = 363,066.10/628.32
  6. Step 6: Final answer
    x = 577.84

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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.