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Finding the Fourth Proportional to 688.69, 950.45 and 378.25

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Solution

The fourth proportional to 688.69, 950.45 and 378.25 is: 522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.69 : 950.45 = 378.25 : x
  2. Step 2: Convert to fraction form
    688.69/950.45 = 378.25/x
  3. Step 3: Cross multiply
    688.69x = 950.45 × 378.25
  4. Step 4: Simplify right side
    688.69x = 359,506.28
  5. Step 5: Solve for x
    x = 359,506.28/688.69
  6. Step 6: Final answer
    x = 522.02

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1.5x scale

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.