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Finding the Fourth Proportional to 688.38, 950.34 and 493.20

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Solution

The fourth proportional to 688.38, 950.34 and 493.20 is: 680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.38 : 950.34 = 493.20 : x
  2. Step 2: Convert to fraction form
    688.38/950.34 = 493.20/x
  3. Step 3: Cross multiply
    688.38x = 950.34 × 493.20
  4. Step 4: Simplify right side
    688.38x = 468,707.69
  5. Step 5: Solve for x
    x = 468,707.69/688.38
  6. Step 6: Final answer
    x = 680.89

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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.