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Finding the Fourth Proportional to 688.91, 950.68 and 378.41

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Solution

The fourth proportional to 688.91, 950.68 and 378.41 is: 522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.91 : 950.68 = 378.41 : x
  2. Step 2: Convert to fraction form
    688.91/950.68 = 378.41/x
  3. Step 3: Cross multiply
    688.91x = 950.68 × 378.41
  4. Step 4: Simplify right side
    688.91x = 359,746.82
  5. Step 5: Solve for x
    x = 359,746.82/688.91
  6. Step 6: Final answer
    x = 522.20

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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.