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Finding the Fourth Proportional to 688.76, 950.46 and 378.24

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Solution

The fourth proportional to 688.76, 950.46 and 378.24 is: 521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.76 : 950.46 = 378.24 : x
  2. Step 2: Convert to fraction form
    688.76/950.46 = 378.24/x
  3. Step 3: Cross multiply
    688.76x = 950.46 × 378.24
  4. Step 4: Simplify right side
    688.76x = 359,501.99
  5. Step 5: Solve for x
    x = 359,501.99/688.76
  6. Step 6: Final answer
    x = 521.96

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Double scale
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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.