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Finding the Fourth Proportional to 693.96, 956.88 and 494.88

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Solution

The fourth proportional to 693.96, 956.88 and 494.88 is: 682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.96 : 956.88 = 494.88 : x
  2. Step 2: Convert to fraction form
    693.96/956.88 = 494.88/x
  3. Step 3: Cross multiply
    693.96x = 956.88 × 494.88
  4. Step 4: Simplify right side
    693.96x = 473,540.77
  5. Step 5: Solve for x
    x = 473,540.77/693.96
  6. Step 6: Final answer
    x = 682.37

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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.