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Finding the Fourth Proportional to 693.76, 956.93 and 494.57

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Solution

The fourth proportional to 693.76, 956.93 and 494.57 is: 682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.76 : 956.93 = 494.57 : x
  2. Step 2: Convert to fraction form
    693.76/956.93 = 494.57/x
  3. Step 3: Cross multiply
    693.76x = 956.93 × 494.57
  4. Step 4: Simplify right side
    693.76x = 473,268.87
  5. Step 5: Solve for x
    x = 473,268.87/693.76
  6. Step 6: Final answer
    x = 682.18

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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.