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Finding the Fourth Proportional to 688.82, 950.56 and 378.32

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Solution

The fourth proportional to 688.82, 950.56 and 378.32 is: 522.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.82 : 950.56 = 378.32 : x
  2. Step 2: Convert to fraction form
    688.82/950.56 = 378.32/x
  3. Step 3: Cross multiply
    688.82x = 950.56 × 378.32
  4. Step 4: Simplify right side
    688.82x = 359,615.86
  5. Step 5: Solve for x
    x = 359,615.86/688.82
  6. Step 6: Final answer
    x = 522.08

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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.